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PeterLuschny · Feb 28, 2023 · c7306b8 · c7306b8
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diff --git a/IntroductionToTabl.ipynb b/IntroductionToTabl.ipynb
@@ -157,10 +157,11 @@
    ]
   },
   {
+   "attachments": {},
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "'stirling_set.mat' converts the triangle to a square matrix by filling T(n, k) for k > n with zeros."
+    "StirlingSet.mat converts the triangle to a square matrix by filling T(n, k) for k > n with zeros."
    ]
   },
   {

diff --git a/README.md b/README.md
diff --git a/data/csv/Abel.csv b/data/csv/Abel.csv
@@ -2,15 +2,15 @@ Triangle,Anum,Trait,Sequence
 Abel,A137452,Tabl,[1 0 1 0 2 1 0 9 6 1 0 64 48 12 1 0 625 500 150 20 1 0 7776 6480 ]
 Abel,A139526,RevTabl,[1 1 0 1 2 0 1 6 9 0 1 12 48 64 0 1 20 150 500 625 0 1 30 360 2160 ]
 Abel,A059297,InvTabl,[1 0 1 0 -2 1 0 3 -6 1 0 -4 24 -12 1 0 5 -80 90 -20 1 0 -6 240 -540 ]
-Abel,,InvRevTabl,[]
 Abel,A059299,RevInvTabl,[1 1 0 1 -2 0 1 -6 3 0 1 -12 24 -4 0 1 -20 90 -80 5 0 1 -30 240 ]
+Abel,,InvRevTabl,[]
 Abel,,AccTabl,[1 0 1 0 2 3 0 9 15 16 0 64 112 124 125 0 625 1125 1275 1295 1296 0 ]
 Abel,,RevAccTabl,[1 1 0 3 2 0 16 15 9 0 125 124 112 64 0 1296 1295 1275 1125 625 0 ]
 Abel,,AccRevTabl,[1 1 1 1 3 3 1 7 16 16 1 13 61 125 125 1 21 171 671 1296 1296 1 31 ]
 Abel,,AntiDiagTabl,[1 0 0 1 0 2 0 9 1 0 64 6 0 625 48 1 0 7776 500 12 0 117649 6480 ]
-Abel,,DiffxTabl,[1 0 2 0 4 3 0 18 18 4 0 128 144 48 5 0 1250 1500 600 100 6 0 15552 ]
 Abel,,BinTabl,[1 0 1 0 2 5 0 9 24 46 0 64 176 348 593 0 625 1750 3525 6120 9726 0 ]
 Abel,,InvBinTabl,[1 0 1 0 2 -3 0 9 -12 10 0 64 -80 60 -15 0 625 -750 525 -80 -474 0 ]
+Abel,,DiffxTabl,[1 0 2 0 4 3 0 18 18 4 0 128 144 48 5 0 1250 1500 600 100 6 0 15552 ]
 Abel,A000272,RowSum,[1 1 3 16 125 1296 16807 262144 4782969 100000000 2357947691 ]
 Abel,A274278,EvenSum,[1 0 1 6 49 520 6841 107744 1979713 41611392 985263601 25958682112 ]
 Abel,A195136,OddSum,[0 1 2 10 76 776 9966 154400 2803256 58388608 1372684090 ]
@@ -28,9 +28,9 @@ Abel,A000007,ColLeft,[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
 Abel,A000012,ColRight,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Abel,,BinConv,[1 1 5 46 593 9726 192637 4457580 117769409 3492894070 114790042901 ]
 Abel,,InvBinConv,[1 1 -3 10 -15 -474 12565 -258572 5136705 -102255290 2019481101 ]
-Abel,A225497,TransSqrs,[0 1 6 42 380 4320 59682 974848 18423288 396000000 9548713790 ]
 Abel,A089946,TransNat0,[0 1 4 24 200 2160 28812 458752 8503056 180000000 4287177620 ]
 Abel,,TransNat1,[1 2 7 40 325 3456 45619 720896 13286025 280000000 6645125311 ]
+Abel,A225497,TransSqrs,[0 1 6 42 380 4320 59682 974848 18423288 396000000 9548713790 ]
 Abel,A002378,DiagRow1,[0 2 6 12 20 30 42 56 72 90 110 132 156 182 210 240 272 306 342 380 ]
 Abel,,DiagRow2,[0 9 48 150 360 735 1344 2268 3600 5445 7920 11154 15288 20475 ]
 Abel,,DiagRow3,[0 64 500 2160 6860 17920 40824 84000 159720 285120 483340 784784 ]

diff --git a/data/csv/Baxter.csv b/data/csv/Baxter.csv
@@ -2,15 +2,15 @@ Triangle,Anum,Trait,Sequence
 Baxter,A359363,Tabl,[1 0 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 ]
 Baxter,A359363,RevTabl,[1 1 0 1 1 0 1 4 1 0 1 10 10 1 0 1 20 50 20 1 0 1 35 175 175 35 1 0 ]
 Baxter,,InvTabl,[1 0 1 0 -1 1 0 3 -4 1 0 -21 30 -10 1 0 289 -420 150 -20 1 0 -6931 ]
-Baxter,,InvRevTabl,[]
 Baxter,,RevInvTabl,[1 1 0 1 -1 0 1 -4 3 0 1 -10 30 -21 0 1 -20 150 -420 289 0 1 -35 ]
+Baxter,,InvRevTabl,[]
 Baxter,,AccTabl,[1 0 1 0 1 2 0 1 5 6 0 1 11 21 22 0 1 21 71 91 92 0 1 36 211 386 ]
 Baxter,,RevAccTabl,[1 1 0 2 1 0 6 5 1 0 22 21 11 1 0 92 91 71 21 1 0 422 421 386 211 ]
 Baxter,,AccRevTabl,[1 1 1 1 2 2 1 5 6 6 1 11 21 22 22 1 21 71 91 92 92 1 36 211 386 ]
 Baxter,,AntiDiagTabl,[1 0 0 1 0 1 0 1 1 0 1 4 0 1 10 1 0 1 20 10 0 1 35 50 1 0 1 56 175 ]
-Baxter,,DiffxTabl,[1 0 2 0 2 3 0 2 12 4 0 2 30 40 5 0 2 60 200 100 6 0 2 105 700 875 ]
 Baxter,,BinTabl,[1 0 1 0 1 3 0 1 6 16 0 1 12 43 105 0 1 22 113 344 806 0 1 37 283 ]
 Baxter,,InvBinTabl,[1 0 1 0 1 -1 0 1 2 -8 0 1 8 -17 17 0 1 18 -7 -64 206 0 1 33 73 ]
+Baxter,,DiffxTabl,[1 0 2 0 2 3 0 2 12 4 0 2 30 40 5 0 2 60 200 100 6 0 2 105 700 875 ]
 Baxter,A001181,RowSum,[1 1 2 6 22 92 422 2074 10754 58202 326240 1882960 11140560 ]
 Baxter,,EvenSum,[1 0 1 4 11 40 211 1092 5377 28464 163120 950048 5570280 33537088 ]
 Baxter,,OddSum,[0 1 1 2 11 52 211 982 5377 29738 163120 932912 5570280 33792904 ]
@@ -28,9 +28,9 @@ Baxter,A000007,ColLeft,[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
 Baxter,A000012,ColRight,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Baxter,,BinConv,[1 1 3 16 105 806 6867 63316 620433 6383026 68335124 756256788 ]
 Baxter,,InvBinConv,[1 1 -1 -8 17 206 -565 -8420 26369 445186 -1513092 -27773844 ]
-Baxter,,TransSqrs,[0 1 5 26 147 876 5427 34630 226193 1505626 10180040 69742960 ]
 Baxter,A350265,TransNat0,[0 1 3 12 55 276 1477 8296 48393 291010 1794320 11297760 72413640 ]
 Baxter,,TransNat1,[1 2 5 18 77 368 1899 10370 59147 349212 2120560 13180720 83554200 ]
+Baxter,,TransSqrs,[0 1 5 26 147 876 5427 34630 226193 1505626 10180040 69742960 ]
 Baxter,A000292,DiagRow1,[0 1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 ]
 Baxter,A006542,DiagRow2,[0 1 10 50 175 490 1176 2520 4950 9075 15730 26026 41405 63700 ]
 Baxter,A047819,DiagRow3,[0 1 20 175 980 4116 14112 41580 108900 259545 572572 1184183 ]

diff --git a/data/csv/Bell.csv b/data/csv/Bell.csv
@@ -2,15 +2,15 @@ Triangle,Anum,Trait,Sequence
 Bell,A011971,Tabl,[1 1 2 2 3 5 5 7 10 15 15 20 27 37 52 52 67 87 114 151 203 203 255 ]
 Bell,A123346,RevTabl,[1 2 1 5 3 2 15 10 7 5 52 37 27 20 15 203 151 114 87 67 52 877 674 ]
 Bell,,InvTabl,[]
-Bell,,InvRevTabl,[]
 Bell,,RevInvTabl,[]
+Bell,,InvRevTabl,[]
 Bell,,AccTabl,[1 1 3 2 5 10 5 12 22 37 15 35 62 99 151 52 119 206 320 471 674 203 ]
 Bell,,RevAccTabl,[1 3 1 10 5 2 37 22 12 5 151 99 62 35 15 674 471 320 206 119 52 ]
 Bell,,AccRevTabl,[1 2 3 5 8 10 15 25 32 37 52 89 116 136 151 203 354 468 555 622 674 ]
 Bell,,AntiDiagTabl,[1 1 2 2 5 3 15 7 5 52 20 10 203 67 27 15 877 255 87 37 4140 1080 ]
-Bell,,DiffxTabl,[1 1 4 2 6 15 5 14 30 60 15 40 81 148 260 52 134 261 456 755 1218 ]
 Bell,,BinTabl,[1 1 3 2 5 13 5 12 29 71 15 35 82 193 457 52 119 273 628 1449 3355 ]
 Bell,,InvBinTabl,[1 1 1 2 1 1 5 2 1 1 15 5 2 1 1 52 15 5 2 1 1 203 52 15 5 2 1 1 877 ]
+Bell,,DiffxTabl,[1 1 4 2 6 15 5 14 30 60 15 40 81 148 260 52 134 261 456 755 1218 ]
 Bell,A005493,RowSum,[1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 ]
 Bell,,EvenSum,[1 1 7 15 94 290 1925 7541 54217 254189 1979704 10725568 90086877 ]
 Bell,,OddSum,[0 2 3 22 57 384 1338 9466 40611 308406 1555323 12705272 73168008 ]
@@ -28,9 +28,9 @@ Bell,A000110,ColLeft,[1 1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 276
 Bell,A000110,ColRight,[1 2 5 15 52 203 877 4140 21147 115975 678570 4213597 27644437 ]
 Bell,A126390,BinConv,[1 3 13 71 457 3355 27509 248127 2434129 25741939 291397789 ]
 Bell,A000012,InvBinConv,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
-Bell,,TransSqrs,[0 2 23 182 1293 8932 62014 439442 3202127 24081458 187213595 ]
 Bell,,TransNat0,[0 2 13 72 393 2202 12850 78488 502327 3366648 23597297 172691956 ]
 Bell,A278677,TransNat1,[1 5 23 109 544 2876 16113 95495 597155 3929243 27132324 196122796 ]
+Bell,,TransSqrs,[0 2 23 182 1293 8932 62014 439442 3202127 24081458 187213595 ]
 Bell,A005493,DiagRow1,[1 3 10 37 151 674 3263 17007 94828 562595 3535027 23430840 ]
 Bell,A011965,DiagRow2,[2 7 27 114 523 2589 13744 77821 467767 2972432 19895813 139824045 ]
 Bell,A011966,DiagRow3,[5 20 87 409 2066 11155 64077 389946 2504665 16923381 119928232 ]

diff --git a/data/csv/Bessel.csv b/data/csv/Bessel.csv
@@ -1,16 +1,16 @@
 Triangle,Anum,Trait,Sequence
-Bessel,A122850,Tabl,[1 0 1 0 1 1 0 3 3 1 0 15 15 6 1 0 105 105 45 10 1 0 945 945 420 ]
+Bessel,A132062,Tabl,[1 0 1 0 1 1 0 3 3 1 0 15 15 6 1 0 105 105 45 10 1 0 945 945 420 ]
 Bessel,A104548,RevTabl,[1 1 0 1 1 0 1 3 3 0 1 6 15 15 0 1 10 45 105 105 0 1 15 105 420 945 ]
 Bessel,A122848,InvTabl,[1 0 1 0 -1 1 0 0 -3 1 0 0 3 -6 1 0 0 0 15 -10 1 0 0 0 -15 45 -15 1 ]
-Bessel,,InvRevTabl,[]
 Bessel,A144299,RevInvTabl,[1 1 0 1 -1 0 1 -3 0 0 1 -6 3 0 0 1 -10 15 0 0 0 1 -15 45 -15 0 0 0 ]
+Bessel,,InvRevTabl,[]
 Bessel,,AccTabl,[1 0 1 0 1 2 0 3 6 7 0 15 30 36 37 0 105 210 255 265 266 0 945 1890 ]
 Bessel,,RevAccTabl,[1 1 0 2 1 0 7 6 3 0 37 36 30 15 0 266 265 255 210 105 0 2431 2430 ]
 Bessel,,AccRevTabl,[1 1 1 1 2 2 1 4 7 7 1 7 22 37 37 1 11 56 161 266 266 1 16 121 541 ]
 Bessel,,AntiDiagTabl,[1 0 0 1 0 1 0 3 1 0 15 3 0 105 15 1 0 945 105 6 0 10395 945 45 1 0 ]
-Bessel,,DiffxTabl,[1 0 2 0 2 3 0 6 9 4 0 30 45 24 5 0 210 315 180 50 6 0 1890 2835 ]
 Bessel,,BinTabl,[1 0 1 0 1 3 0 3 9 19 0 15 45 96 175 0 105 315 675 1240 2076 0 945 ]
 Bessel,,InvBinTabl,[1 0 1 0 1 -1 0 3 -3 1 0 15 -15 6 7 0 105 -105 45 40 -124 0 945 ]
+Bessel,,DiffxTabl,[1 0 2 0 2 3 0 6 9 4 0 30 45 24 5 0 210 315 180 50 6 0 1890 2835 ]
 Bessel,A144301,RowSum,[1 1 2 7 37 266 2431 27007 353522 5329837 90960751 1733584106 ]
 Bessel,A036244,EvenSum,[1 0 1 3 16 115 1051 11676 152839 2304261 39325276 749484505 ]
 Bessel,A025164,OddSum,[0 1 1 4 21 151 1380 15331 200683 3025576 51635475 984099601 ]
@@ -28,9 +28,9 @@ Bessel,A000007,ColLeft,[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
 Bessel,A000012,ColRight,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Bessel,,BinConv,[1 1 3 19 175 2076 29911 505093 9757539 211883500 5102919316 ]
 Bessel,,InvBinConv,[1 1 -1 1 7 -124 1591 -19991 256691 -3335228 41759236 -430787224 ]
-Bessel,,TransSqrs,[0 1 5 24 145 1115 10596 120715 1607999 24555060 423178255 ]
 Bessel,A107103,TransNat0,[0 1 3 12 67 495 4596 51583 680037 10306152 176591665 3376207461 ]
 Bessel,,TransNat1,[1 2 5 19 104 761 7027 78590 1033559 15635989 267552416 5109791567 ]
+Bessel,,TransSqrs,[0 1 5 24 145 1115 10596 120715 1607999 24555060 423178255 ]
 Bessel,A000217,DiagRow1,[0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 ]
 Bessel,A050534,DiagRow2,[0 3 15 45 105 210 378 630 990 1485 2145 3003 4095 5460 7140 9180 ]
 Bessel,A240440,DiagRow3,[0 15 105 420 1260 3150 6930 13860 25740 45045 75075 120120 185640 ]

diff --git a/data/csv/Bessel2.csv b/data/csv/Bessel2.csv
@@ -1,16 +1,16 @@
 Triangle,Anum,Trait,Sequence
-Bessel2,A073278,Tabl,[1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 ]
+Bessel2,A359760,Tabl,[1 1 0 1 0 1 1 0 3 0 1 0 6 0 3 1 0 10 0 15 0 1 0 15 0 45 0 15 1 0 ]
 Bessel2,A066325,RevTabl,[1 0 1 1 0 1 0 3 0 1 3 0 6 0 1 0 15 0 10 0 1 15 0 45 0 15 0 1 0 105 ]
 Bessel2,,InvTabl,[]
-Bessel2,A066325,InvRevTabl,[1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 ]
 Bessel2,,RevInvTabl,[]
+Bessel2,A066325,InvRevTabl,[1 0 1 -1 0 1 0 -3 0 1 3 0 -6 0 1 0 15 0 -10 0 1 -15 0 45 0 -15 0 1 ]
 Bessel2,,AccTabl,[1 1 1 1 1 2 1 1 4 4 1 1 7 7 10 1 1 11 11 26 26 1 1 16 16 61 61 76 ]
 Bessel2,,RevAccTabl,[1 1 1 2 1 1 4 4 1 1 10 7 7 1 1 26 26 11 11 1 1 76 61 61 16 16 1 1 ]
 Bessel2,,AccRevTabl,[1 0 1 1 1 2 0 3 3 4 3 3 9 9 10 0 15 15 25 25 26 15 15 60 60 75 75 ]
 Bessel2,,AntiDiagTabl,[1 1 1 0 1 0 1 0 1 1 0 3 1 0 6 0 1 0 10 0 1 0 15 0 3 1 0 21 0 15 1 ]
-Bessel2,,DiffxTabl,[1 1 0 1 0 3 1 0 9 0 1 0 18 0 15 1 0 30 0 75 0 1 0 45 0 225 0 105 1 ]
 Bessel2,,BinTabl,[1 1 1 1 1 2 1 1 4 10 1 1 7 19 40 1 1 11 31 76 176 1 1 16 46 136 ]
 Bessel2,,InvBinTabl,[1 1 -1 1 -1 2 1 -1 4 -10 1 -1 7 -19 40 1 -1 11 -31 76 -176 1 -1 16 ]
+Bessel2,,DiffxTabl,[1 1 0 1 0 3 1 0 9 0 1 0 18 0 15 1 0 30 0 75 0 1 0 45 0 225 0 105 1 ]
 Bessel2,A000085,RowSum,[1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 ]
 Bessel2,A000085,EvenSum,[1 1 2 4 10 26 76 232 764 2620 9496 35696 140152 568504 2390480 ]
 Bessel2,A000004,OddSum,[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
@@ -28,9 +28,9 @@ Bessel2,A000012,ColLeft,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Bessel2,A123022,ColRight,[1 0 1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 ]
 Bessel2,A344501,BinConv,[1 1 2 10 40 176 916 4852 27350 163270 1009396 6504356 43400512 ]
 Bessel2,A344501,InvBinConv,[1 -1 2 -10 40 -176 916 -4852 27350 -163270 1009396 -6504356 ]
-Bessel2,,TransSqrs,[0 0 4 12 72 280 1320 5544 25312 112032 520560 2413840 11583264 ]
 Bessel2,,TransNat0,[0 0 2 6 24 80 300 1092 4256 16704 68760 288200 1253472 5568576 ]
 Bessel2,,TransNat1,[1 1 4 10 34 106 376 1324 5020 19324 78256 323896 1393624 6137080 ]
+Bessel2,,TransSqrs,[0 0 4 12 72 280 1320 5544 25312 112032 520560 2413840 11583264 ]
 Bessel2,A123022,DiagRow1,[1 0 3 0 15 0 105 0 945 0 10395 0 135135 0 2027025 0 34459425 0 ]
 Bessel2,A001879,DiagRow2,[1 0 6 0 45 0 420 0 4725 0 62370 0 945945 0 16216200 0 310134825 0 ]
 Bessel2,A000457,DiagRow3,[1 0 10 0 105 0 1260 0 17325 0 270270 0 4729725 0 91891800 0 ]

diff --git a/data/csv/Binomial.csv b/data/csv/Binomial.csv
@@ -2,15 +2,15 @@ Triangle,Anum,Trait,Sequence
 Binomial,A007318,Tabl,[1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 ]
 Binomial,A007318,RevTabl,[1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 ]
 Binomial,A007318,InvTabl,[1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 ]
-Binomial,A007318,InvRevTabl,[1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 ]
 Binomial,A007318,RevInvTabl,[1 1 -1 1 -2 1 1 -3 3 -1 1 -4 6 -4 1 1 -5 10 -10 5 -1 1 -6 15 -20 ]
+Binomial,A007318,InvRevTabl,[1 -1 1 1 -2 1 -1 3 -3 1 1 -4 6 -4 1 -1 5 -10 10 -5 1 1 -6 15 -20 ]
 Binomial,A008949,AccTabl,[1 1 2 1 3 4 1 4 7 8 1 5 11 15 16 1 6 16 26 31 32 1 7 22 42 57 63 ]
 Binomial,A055248,RevAccTabl,[1 2 1 4 3 1 8 7 4 1 16 15 11 5 1 32 31 26 16 6 1 64 63 57 42 22 7 ]
 Binomial,A008949,AccRevTabl,[1 1 2 1 3 4 1 4 7 8 1 5 11 15 16 1 6 16 26 31 32 1 7 22 42 57 63 ]
 Binomial,A011973,AntiDiagTabl,[1 1 1 1 1 2 1 3 1 1 4 3 1 5 6 1 1 6 10 4 1 7 15 10 1 1 8 21 20 5 1 ]
-Binomial,A103406,DiffxTabl,[1 1 2 1 4 3 1 6 9 4 1 8 18 16 5 1 10 30 40 25 6 1 12 45 80 75 36 7 ]
 Binomial,A046899,BinTabl,[1 1 2 1 3 6 1 4 10 20 1 5 15 35 70 1 6 21 56 126 252 1 7 28 84 210 ]
 Binomial,,InvBinTabl,[1 1 0 1 1 -2 1 2 -2 0 1 3 -1 -3 6 1 4 1 -6 6 0 1 5 4 -8 2 10 -20 1 ]
+Binomial,A103406,DiffxTabl,[1 1 2 1 4 3 1 6 9 4 1 8 18 16 5 1 10 30 40 25 6 1 12 45 80 75 36 7 ]
 Binomial,A000079,RowSum,[1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 ]
 Binomial,A011782,EvenSum,[1 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 ]
 Binomial,A034008,OddSum,[0 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 ]
@@ -28,9 +28,9 @@ Binomial,A000012,ColLeft,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Binomial,A000012,ColRight,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Binomial,A000984,BinConv,[1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 ]
 Binomial,A126869,InvBinConv,[1 0 -2 0 6 0 -20 0 70 0 -252 0 924 0 -3432 0 12870 0 -48620 0 ]
-Binomial,A001788,TransSqrs,[0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 ]
 Binomial,A001787,TransNat0,[0 1 4 12 32 80 192 448 1024 2304 5120 11264 24576 53248 114688 ]
 Binomial,A001792,TransNat1,[1 3 8 20 48 112 256 576 1280 2816 6144 13312 28672 61440 131072 ]
+Binomial,A001788,TransSqrs,[0 1 6 24 80 240 672 1792 4608 11520 28160 67584 159744 372736 ]
 Binomial,A000027,DiagRow1,[1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ]
 Binomial,A000217,DiagRow2,[1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 ]
 Binomial,A000292,DiagRow3,[1 4 10 20 35 56 84 120 165 220 286 364 455 560 680 816 969 1140 ]

diff --git a/data/csv/Catalan.csv b/data/csv/Catalan.csv
@@ -2,15 +2,15 @@ Triangle,Anum,Trait,Sequence
 Catalan,A128899,Tabl,[1 0 1 0 2 1 0 5 4 1 0 14 14 6 1 0 42 48 27 8 1 0 132 165 110 44 10 ]
 Catalan,A050166,RevTabl,[1 1 0 1 2 0 1 4 5 0 1 6 14 14 0 1 8 27 48 42 0 1 10 44 110 165 132 ]
 Catalan,A128908,InvTabl,[1 0 1 0 -2 1 0 3 -4 1 0 -4 10 -6 1 0 5 -20 21 -8 1 0 -6 35 -56 36 ]
-Catalan,,InvRevTabl,[]
 Catalan,A053123,RevInvTabl,[1 1 0 1 -2 0 1 -4 3 0 1 -6 10 -4 0 1 -8 21 -20 5 0 1 -10 36 -56 35 ]
+Catalan,,InvRevTabl,[]
 Catalan,A050158,AccTabl,[1 0 1 0 2 3 0 5 9 10 0 14 28 34 35 0 42 90 117 125 126 0 132 297 ]
 Catalan,,RevAccTabl,[1 1 0 3 2 0 10 9 5 0 35 34 28 14 0 126 125 117 90 42 0 462 461 451 ]
 Catalan,,AccRevTabl,[1 1 1 1 3 3 1 5 10 10 1 7 21 35 35 1 9 36 84 126 126 1 11 55 165 ]
 Catalan,A114494,AntiDiagTabl,[1 0 0 1 0 2 0 5 1 0 14 4 0 42 14 1 0 132 48 6 0 429 165 27 1 0 ]
-Catalan,,DiffxTabl,[1 0 2 0 4 3 0 10 12 4 0 28 42 24 5 0 84 144 108 40 6 0 264 495 440 ]
 Catalan,,BinTabl,[1 0 1 0 2 5 0 5 14 28 0 14 42 90 165 0 42 132 297 572 1001 0 132 ]
 Catalan,,InvBinTabl,[1 0 1 0 2 -3 0 5 -6 4 0 14 -14 6 5 0 42 -36 9 20 -39 0 132 -99 11 ]
+Catalan,,DiffxTabl,[1 0 2 0 4 3 0 10 12 4 0 28 42 24 5 0 84 144 108 40 6 0 264 495 440 ]
 Catalan,A088218,RowSum,[1 1 3 10 35 126 462 1716 6435 24310 92378 352716 1352078 5200300 ]
 Catalan,A001791,EvenSum,[1 0 1 4 15 56 210 792 3003 11440 43758 167960 646646 2496144 ]
 Catalan,A000984,OddSum,[0 1 2 6 20 70 252 924 3432 12870 48620 184756 705432 2704156 ]
@@ -28,9 +28,9 @@ Catalan,A000007,ColLeft,[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
 Catalan,A000012,ColRight,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 Catalan,A025174,BinConv,[1 1 5 28 165 1001 6188 38760 245157 1562275 10015005 64512240 ]
 Catalan,,InvBinConv,[1 1 -3 4 5 -39 84 8 -603 1795 -1243 -9096 37388 -50036 -119640 ]
-Catalan,A002457,TransSqrs,[0 1 6 30 140 630 2772 12012 51480 218790 923780 3879876 16224936 ]
 Catalan,A000302,TransNat0,[0 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 ]
 Catalan,A114121,TransNat1,[1 2 7 26 99 382 1486 5812 22819 89846 354522 1401292 5546382 ]
+Catalan,A002457,TransSqrs,[0 1 6 30 140 630 2772 12012 51480 218790 923780 3879876 16224936 ]
 Catalan,A005843,DiagRow1,[0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 ]
 Catalan,A014106,DiagRow2,[0 5 14 27 44 65 90 119 152 189 230 275 324 377 434 495 560 629 702 ]
 Catalan,,DiagRow3,[0 14 48 110 208 350 544 798 1120 1518 2000 2574 3248 4030 4928 ]

diff --git a/data/csv/CatalanAer.csv b/data/csv/CatalanAer.csv
@@ -2,15 +2,15 @@ Triangle,Anum,Trait,Sequence
 CatalanAer,A053121,Tabl,[1 0 1 1 0 1 0 2 0 1 2 0 3 0 1 0 5 0 4 0 1 5 0 9 0 5 0 1 0 14 0 14 ]
 CatalanAer,A052173,RevTabl,[1 1 0 1 0 1 1 0 2 0 1 0 3 0 2 1 0 4 0 5 0 1 0 5 0 9 0 5 1 0 6 0 14 ]
 CatalanAer,A049310,InvTabl,[1 0 1 -1 0 1 0 -2 0 1 1 0 -3 0 1 0 3 0 -4 0 1 -1 0 6 0 -5 0 1 0 -4 ]
-CatalanAer,,InvRevTabl,[]
 CatalanAer,A053119,RevInvTabl,[1 1 0 1 0 -1 1 0 -2 0 1 0 -3 0 1 1 0 -4 0 3 0 1 0 -5 0 6 0 -1 1 0 ]
+CatalanAer,,InvRevTabl,[]
 CatalanAer,,AccTabl,[1 0 1 1 1 2 0 2 2 3 2 2 5 5 6 0 5 5 9 9 10 5 5 14 14 19 19 20 0 14 ]
 CatalanAer,,RevAccTabl,[1 1 0 2 1 1 3 2 2 0 6 5 5 2 2 10 9 9 5 5 0 20 19 19 14 14 5 5 35 ]
 CatalanAer,A107430,AccRevTabl,[1 1 1 1 1 2 1 1 3 3 1 1 4 4 6 1 1 5 5 10 10 1 1 6 6 15 15 20 1 1 7 ]
 CatalanAer,A033184,AntiDiagTabl,[1 0 1 1 0 0 2 2 1 0 0 0 5 5 3 1 0 0 0 0 14 14 9 4 1 0 0 0 0 0 42 ]
-CatalanAer,,DiffxTabl,[1 0 2 1 0 3 0 4 0 4 2 0 9 0 5 0 10 0 16 0 6 5 0 27 0 25 0 7 0 28 0 ]
 CatalanAer,,BinTabl,[1 0 1 1 1 2 0 2 4 7 2 2 5 11 21 0 5 10 19 36 66 5 5 14 32 64 120 ]
 CatalanAer,,InvBinTabl,[1 0 1 1 -1 2 0 2 -4 7 2 -2 5 -11 21 0 5 -10 19 -36 66 5 -5 14 -32 ]
+CatalanAer,,DiffxTabl,[1 0 2 1 0 3 0 4 0 4 2 0 9 0 5 0 10 0 16 0 6 5 0 27 0 25 0 7 0 28 0 ]
 CatalanAer,A001405,RowSum,[1 1 2 3 6 10 20 35 70 126 252 462 924 1716 3432 6435 12870 24310 ]
 CatalanAer,A126869,EvenSum,[1 0 2 0 6 0 20 0 70 0 252 0 924 0 3432 0 12870 0 48620 0 ]
 CatalanAer,A138364,OddSum,[0 1 0 3 0 10 0 35 0 126 0 462 0 1716 0 6435 0 24310 0 92378 ]
@@ -28,9 +28,9 @@ CatalanAer,A090192,ColLeft,[1 0 1 0 2 0 5 0 14 0 42 0 132 0 429 0 1430 0 4862 0
 CatalanAer,A000012,ColRight,[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
 CatalanAer,A344500,BinConv,[1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 ]
 CatalanAer,A344500,InvBinConv,[1 1 2 7 21 66 216 715 2395 8101 27598 94568 325612 1125632 3904512 ]
-CatalanAer,,TransSqrs,[0 1 4 11 28 66 152 339 748 1622 3496 7454 15832 33380 70192 146819 ]
 CatalanAer,A045621,TransNat0,[0 1 2 5 10 22 44 93 186 386 772 1586 3172 6476 12952 26333 52666 ]
 CatalanAer,A000079,TransNat1,[1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 ]
+CatalanAer,,TransSqrs,[0 1 4 11 28 66 152 339 748 1622 3496 7454 15832 33380 70192 146819 ]
 CatalanAer,A000004,DiagRow1,[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
 CatalanAer,A000027,DiagRow2,[1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ]
 CatalanAer,A000004,DiagRow3,[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]