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begins:\n  0: 1;\n  1: 0, 2;\n  2: 0, 0, 2;\n  3: 0, 0, 0, 2;\n  4: 0, 0, 0, 0, 2;\n  5: 0, 0, 0, 0, 0, 2;\n  6: 0, 0, 0, 0, 0, 0, 2;\n  7: 0, 0, 0, 0, 0, 0, 0, 2;\n  8: 0, 0, 0, 0, 0, 0, 0, 0, 2;\n  9: 0, 0, 0, 0, 0, 0, 0, 0, 0, 2;\n","recurrence_sentence":"The row polynomials satisfy (n-1)*P(n,x) = (n-1)*x*P(n-1,x) for n >= 2, with P(0,x) = 1, P(1,x) = 2*x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 2*x;\nP[n_, x_] := P[n, x] = Expand[Together[((n - 1)*x*P[n - 1, x])/(n - 1)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 2*x; for(n = 2, N, my(i = n + 1); v[i] = ((n - 1)*x*v[i - 1])/(n - 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}},{"oeis_id":"A136521","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: 0, 2;\n  2: 0, 0, 2;\n  3: 0, 0, 0, 2;\n  4: 0, 0, 0, 0, 2;\n  5: 0, 0, 0, 0, 0, 2;\n  6: 0, 0, 0, 0, 0, 0, 2;\n  7: 0, 0, 0, 0, 0, 0, 0, 2;\n  8: 0, 0, 0, 0, 0, 0, 0, 0, 2;\n  9: 0, 0, 0, 0, 0, 0, 0, 0, 0, 2;\n","recurrence_sentence":"The row polynomials satisfy (n-1)*P(n,x) = (n-1)*x*P(n-1,x) for n >= 2, with P(0,x) = 1, P(1,x) = 2*x.","mathematica":"P[0, x_] := 1;\nP[1, x_] := 2*x;\nP[n_, x_] := P[n, x] = Expand[Together[((n - 1)*x*P[n - 1, x])/(n - 1)]];\nTable[PadRight[CoefficientList[P[n, x], x], n + 1], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; v[2] = 2*x; for(n = 2, N, my(i = n 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