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               400;\n  1:            17576,               79760,                55200,                  8000;\n  2:           456976,             4020480,              5238400,               1792000,                160000;\n  3:         11881376,           194081600,            426144000,             258880000,              52800000,               3200000;\n  4:        308915776,          9165381120,          32007136000,           30786560000,           10774400000,            1459200000,              64000000;\n  5:       8031810176,        427785847040,        2295778598400,         3287786880000,         1757817600000,          399347200000,           38528000000,           1280000000;\n  6:     208827064576,      19838785167360,      160077104435200,       328665243648000,       252084403200000,        85474099200000,        13612032000000,         983040000000,         25600000000;\n  7:    5429503678976,     916760658990080,    10961864596070400,     31466753042432000,     33294251612160000,     15811424563200000,      3696838656000000,      435425280000000,      24422400000000,       512000000000;\n  8:  141167095653376,   42279580387123200,   741818276520448000,   2925378053570560000,   4158525731737600000,   2658124527206400000,    855966935040000000,   146217369600000000,   13251072000000000,    593920000000000,    10240000000000;\n  9: 3670344486987776, 1947684039720734720, 49805597858092032000, 266418878137477120000, 499311288635596800000, 418094205062758400000, 178133663059968000000, 41391422054400000000, 5389046784000000000, 387368960000000000, 14192640000000000, 204800000000000;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (26+20*x)*P(n-1,x) + 20*x*d/dx P(n-1,x) for n >= 1, with P(0,x) = 676 + 1440*x + 400*x^2.","mathematica":"P[0, x_] := 676 + 1440*x + 400*x^2;\nP[n_, x_] := P[n, x] = Expand[(26 + 20*x)*P[n - 1, x] + 20*x*D[P[n - 1, x], x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 676 + 1440*x + 400*x^2; for(n = 1, N, my(i = n + 1); v[i] = (26 + 20*x)*v[i - 1] + 20*x*deriv(v[i - 1], x)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-bbfc5a54ff13a785","steps":["basis A013611","basis A008277"],"edges":["e-db3287eb465d1cf9","e-453bbb6f4006a863"],"text":"A013612 \u2192 basis A013611 \u2192 basis A008277"},"headline":"A013612 \u2192 basis A013611 \u2192 basis A008277","chain":null}
