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begins:\n   1:      16,         -40,            9;\n   2:      64,        -560,         1036,            -225;\n   3:     256,       -5376,        31584,          -51664,            11025;\n   4:    1024,      -42240,       561792,        -2764960,          4228884,            -893025;\n   5:    4096,     -292864,      7358208,       -79036672,        351475696,         -515267064,           108056025;\n   6:   16384,    -1863680,     78926848,     -1559683840,      14763100352,       -61460460880,         87512357916,          -18261468225;\n   7:   65536,   -11141120,    735035392,    -23997276160,     409981265408,     -3567539422720,      14178653129664,       -19763326404000,         4108830350625;\n   8:  262144,   -63504384,   6159925248,   -308414332928,    8575137871872,   -132754743393792,    1087733505684736,     -4176684060088896,      5728036652158500,      -1187451971330625;\n   9: 1048576,  -348651520,  47564783616,  -3457390346240,  145638125674496,  -3626643745320960,   52275396387897856,   -409378531792545280,   1530695092300725456,   -2072571039314541000,    428670161650355625;\n  10: 4194304, -1857028096, 344014454784, -34805630959616, 2107261645389824, -78732988403736576, 1808451477238134784, -24690963934233135616, 186658712889715370304, -683326819861878090096, 915718508984314003500, -189043541287806830625;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (4-(4*n^2+4*n+1)*x)*P(n-1,x) for n >= 2, with P(1,x) = 16 - 40*x + 9*x^2.","mathematica":"P[1, x_] := 16 - 40*x + 9*x^2;\nP[n_, x_] := P[n, x] = Expand[(4 - (4*n^2 + 4*n + 1)*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 16 - 40*x + 9*x^2; for(n = 2, N, my(i = n); v[i] = (4 - (4*n^2 + 4*n + 1)*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i, 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