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v[1] = 1; v[2] = 1 + 4*x; for(n = 2, N, my(i = n + 1); v[i] = ((2*n - 1 + (n + 3)*x)*v[i - 1] - (n - 1 + (n - 1)*x)*v[i - 2])/(n)); 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}},{"oeis_id":"A124848","target":"triangle","first_row":0,"oeis_offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":true,"rows_shown":10,"polytool_commit":"c48629374597092cc41ef4d6273f37991516f984","triangle_example":"Triangle begins:\n  0: 1;\n  1: 1,  4;\n  2: 1,  8,  10;\n  3: 1, 12,  30,   20;\n  4: 1, 16,  60,   80,   35;\n  5: 1, 20, 100,  200,  175,   56;\n  6: 1, 24, 150,  400,  525,  336,   84;\n  7: 1, 28, 210,  700, 1225, 1176,  588,  120;\n  8: 1, 32, 280, 1120, 2450, 3136, 2352,  960,  165;\n  9: 1, 36, 360, 1680, 4410, 7056, 7056, 4320, 1485, 220;\n","recurrence_sentence":"The row polynomials satisfy n*P(n,x) = (2*n-1+(n+3)*x)*P(n-1,x) - (n-1+(n-1)*x)*P(n-2,x) for n >= 2, with P(0,x) = 1, P(1,x) = 1 + 4*x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 1 + 4*x;\nP[n_, x_] := P[n, x] = Expand[Together[((2*n - 1 + (n + 3)*x)*P[n - 1, x] - (n - 1 + (n - 1)*x)*P[n - 2, x])/(n)]];\nTable[PadRight[CoefficientList[P[n, x], x], n + 1], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); 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