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v[1] = 1; for(n = 2, N, my(i = n); v[i] = ((8*n^2 - 2 + (6*n^2 - 8*n + 2)*x)*v[i - 1] + ((16*n - 4)*x - (4*n - 1)*x^2)*deriv(v[i - 1], x))/(2*n^2 + n)); 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}},{"oeis_id":"A281000","target":"triangle","first_row":1,"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:     3,       1;\n  2:    10,      10,       1;\n  3:    35,      70,      21,       1;\n  4:   126,     420,     252,      36,       1;\n  5:   462,    2310,    2310,     660,      55,       1;\n  6:  1716,   12012,   18018,    8580,    1430,      78,      1;\n  7:  6435,   60060,  126126,   90090,   25025,    2730,    105,    1;\n  8: 24310,  291720,  816816,  816816,  340340,   61880,   4760,  136,   1;\n  9: 92378, 1385670, 4988412, 6651216, 3879876, 1058148, 135660, 7752, 171, 1;\n","recurrence_sentence":"The row polynomials satisfy (2*n^2+5*n+3)*P(n,x) = (8*n^2+16*n+6+(6*n^2+4*n)*x)*P(n-1,x) + ((16*n+12)*x-(4*n+3)*x^2)*d/dx P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[Together[((8*n^2 + 16*n + 6 + (6*n^2 + 4*n)*x)*P[n - 1, x] + ((16*n + 12)*x - (4*n + 3)*x^2)*D[P[n - 1, x], x])/(2*n^2 + 5*n + 3)]];\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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