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3:     32,     32;\n  4:    128,    256;\n  5:    512,   1536,     512;\n  6:   2048,   8192,    6144;\n  7:   8192,  40960,   49152,    8192;\n  8:  32768, 196608,  327680,  131072;\n  9: 131072, 917504, 1966080, 1310720, 131072;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = 16*x*P(n-2,x) + 4*P(n-1,x) for n >= 2, with P(0,x) = 0, P(1,x) = 2.","mathematica":"P[0, x_] := 0;\nP[1, x_] := 2;\nP[n_, x_] := P[n, x] = Expand[16*x*P[n - 2, x] + 4*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 0; v[2] = 2; for(n = 2, N, my(i = n + 1); v[i] = 16*x*v[i - 2] + 4*v[i - 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}}],"derivation":{"root":"n-d28ad9841fc73317","steps":["Veronese 2 (j=1)","basis 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