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  33396,              10648;\n  2:          279841,           1070696,           1536216,             979616,             234256;\n  3:         6436343,          30782510,          58888280,           56327920,           26939440,            5153632;\n  4:       148035889,         849597276,        2031645660,         2591084320,         1858821360,          711201216,          113379904;\n  5:      3404825447,       22797526906,       65418990252,       104291143880,        99756746320,        57251697888,        18254164544,         2494357888;\n  6:     78310985281,      599249278672,     2006182367728,      3837914094784,      4588810330720,      3511437470464,      1679383138048,       458961851392,        54875873536;\n  7:   1801152661463,    15505575085638,    59325678588528,    132408036270048,    189976747691808,    181716889096512,    115877436525312,     47502551619072,     11359305821952,     1207269217792;\n  8:  41426511213649,   396253585521860,  1705613259420180,   4350549763158720,   7282441994852640,   8358976898439552,   6662952600205440,   3641862290795520,   1306320169524480,   277671920092160,   26559922791424;\n  9: 952809757913927, 10025215713703058, 47946683848145060, 137586136259894520, 263208260671102560, 352470192550867776, 337145401570395264, 230347789892816640, 110166334296564480, 35125497891658240, 6719660466230272, 584318301411328;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (23+22*x)*P(n-1,x) for n >= 1, with P(0,x) = 529 + 1012*x + 484*x^2.","mathematica":"P[0, x_] := 529 + 1012*x + 484*x^2;\nP[n_, x_] := P[n, x] = Expand[(23 + 22*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 529 + 1012*x + 484*x^2; for(n = 1, N, my(i = n + 1); v[i] = (23 + 22*x)*v[i - 1]); 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-344e4bfa9933088a","steps":["basis A013609"],"edges":["e-9947ebaa7f991114"],"text":"A038337 \u2192 basis A013609"},"headline":"A038337 \u2192 basis A013609","chain":null}