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     387,        216,         27;\n   5:     625,      3471,       3537,       1026,         81;\n   6:    3125,     29643,      49320,      24975,       4455,       243;\n   7:   15625,    246519,     631449,     497610,     150660,     18225,       729;\n   8:   78125,   2019027,    7685496,    8860887,    4054050,    816480,     71442,     2187;\n   9:  390625,  16386591,   90597537,  147108906,   95501511,  28491750,   4092606,   271188,    6561;\n  10: 1953125, 132264603, 1045732680, 2331317295, 2064852405, 856339533, 179605188, 19328706, 1003833, 19683;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (5+3*x)*P(n-1,x) + 3*x*d/dx P(n-1,x) for n >= 2, with P(1,x) = 1.","mathematica":"P[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(5 + 3*x)*P[n - 1, x] + 3*x*D[P[n - 1, x], x]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 1; for(n = 2, N, my(i = n); v[i] = (5 + 3*x)*v[i - 1] + 3*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, v[i])))};\nT(10)","reading":{"first_row":1,"offset":1,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-bdd5560e7eb65b04","steps":["D+1"],"edges":["e-d4de7899c7592d3a"],"text":"A225466 \u2192 D+1"},"headline":"A225466 \u2192 D+1","chain":null}