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10512792686592,   6403502407680,   2541191823360,   593374740480,   61917364224;\n  9: 494010316800, 5866189862400, 31399956073728, 100022167035648, 210708930769920, 308280461829120, 319688273608704, 235013053169664, 120042289889280, 40581672468480, 8173092077568, 743008370688;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (n+8+12*x)*P(n-1,x) for n >= 1, with P(0,x) = 56 + 180*x + 144*x^2.","mathematica":"P[0, x_] := 56 + 180*x + 144*x^2;\nP[n_, x_] := P[n, x] = Expand[(n + 8 + 12*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] = 56 + 180*x + 144*x^2; for(n = 1, N, my(i = n + 1); v[i] = (n + 8 + 12*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-c237629cf5fdbb07","steps":["basis A013611","basis 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