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   15826723799040,        10359310123008,         3767021862912,          587068342272;\n  6:      14048223625216,      122602678910976,      468119319478272,      1021351242498048,      1392751694315520,      1215492387766272,       662995847872512,       206648056479744,        28179280429056;\n  7:     618121839509504,     6068832606093312,    26482178644770816,     67409182004871168,    110305934189789184,    120333746388860928,     87515451919171584,     40916315182989312,     11158995049906176,      1352605460594688;\n  8:   27197360938418176,   296698482964561920,  1456519825462394880,   4237148583163330560,   8089101840584540160,  10589369682219761664,   9626699711108874240,   6001059560171765760,   2454978910979358720,    595146402661662720,    64925062108545024;\n  9: 1196683881290399744, 14360206575484796928, 78328399502644346880, 256347489281381498880, 559303612977559633920, 854209154365727440896, 931864532035339026432, 726128206780783656960, 396069930971336540160, 144025429444122378240, 31423730060535791616, 3116402981210161152;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (44+48*x)*P(n-1,x) for n >= 1, with P(0,x) = 1936 + 4224*x + 2304*x^2.","mathematica":"P[0, x_] := 1936 + 4224*x + 2304*x^2;\nP[n_, x_] := P[n, x] = Expand[(44 + 48*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] = 1936 + 4224*x + 2304*x^2; for(n = 1, N, my(i = n + 1); v[i] = (44 + 48*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-6874f381e9c7e0a2","steps":["basis A013610","basis A013609"],"edges":["e-889e30cc3b49f76a","e-fa097368bf8c7b54"],"text":"A038334 \u2192 basis A013610 \u2192 basis A013609"},"headline":"A038334 \u2192 basis A013610 \u2192 basis A013609","chain":null}