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214358881;\n  7:   4649045868,   45930851307,   199086301656,    495143579700,    774624622464,    784038463362,    506255443848,    195729145524,     38584598580,     2357947691;\n  8:  46103038191,  511395045480,  2526196821885,   7299831060720,  13616448441750,  17041741694208,  14374038494970,   7955442689040,   2691275750955,   471589538200,   25937424601;\n  9: 453281972130, 5578467621111, 30939400251540, 101889938482695, 220819889586780, 329518052290350, 343675124166528, 248465522555910, 120326070671730, 36182707318395, 5706233412220, 285311670611;\n","recurrence_sentence":"The row polynomials satisfy (11*n+20+11*x)*P(n,x) = (99*n+279+(121*n+440)*x+121*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 279 + 440*x + 121*x^2.","mathematica":"P[0, x_] := 279 + 440*x + 121*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((99*n + 279 + (121*n + 440)*x + 121*x^2)*P[n - 1, x])/(11*n + 20 + 11*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 279 + 440*x + 121*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((99*n + 279 + (121*n + 440)*x + 121*x^2)*v[i - 1])/(11*n + 20 + 11*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-cfc5b48d32898a3e","steps":["D+1"],"edges":["e-f5912eaf0f1b8dcd"],"text":"A038301 \u2192 D+1"},"headline":"A038301 \u2192 D+1","chain":null}