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   4608,               5184;\n  1:            13824,            165888,             373248,              221184;\n  2:           331776,           5308416,           17915904,            21233664,              8294400;\n  3:          7962624,         159252480,          716636160,          1274019840,            995328000,            286654464;\n  4:        191102976,        4586471424,        25798901760,         61152952320,          71663616000,          41278242816,           9364045824;\n  5:       4586471424,      128421199872,       866843099136,       2568423997440,        4013162496000,        3467372396544,        1573159698432,         293534171136;\n  6:     110075314176,     3522410053632,     27738979172352,      98627481501696,      192631799808000,      221911833378816,      151023331049472,       56358560858112,        8916100448256;\n  7:    2641807540224,    95105071448064,    855945643032576,    3550589334061056,     8321693751705600,    11983239002456064,    10873679835561984,     6086724572676096,     1925877696823296,     264180754022400;\n  8:   63403380965376,  2536135238615040,  25678369290977280,  121734491453521920,   332867750068224000,   575195472117891072,   652420790133719040,   486937965814087680,   231105323618795520,   63403380965376000,    7671809096810496;\n  9: 1521681143169024, 66953970299437056, 753232165868666880, 4017238217966223360, 12553869431144448000, 25308600773187207168, 34447817719060365312, 32137905743729786880, 20337268478454005760, 8369246287429632000, 2025357601557970944, 219122084616339456;\n","recurrence_sentence":"The row polynomials satisfy (1+(3*n+5)*x+(n^2+4*n+4)*x^2)*P(n,x) = (24+(72*n+216)*x+(24*n^2+216*n+408)*x^2+(24*n^2+144*n+216)*x^3)*P(n-1,x) for n >= 1, with P(0,x) = 576 + 4608*x + 5184*x^2.","mathematica":"P[0, x_] := 576 + 4608*x + 5184*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((24 + (72*n + 216)*x + (24*n^2 + 216*n + 408)*x^2 + (24*n^2 + 144*n + 216)*x^3)*P[n - 1, x])/(1 + (3*n + 5)*x + (n^2 + 4*n + 4)*x^2)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 576 + 4608*x + 5184*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((24 + (72*n + 216)*x + (24*n^2 + 216*n + 408)*x^2 + (24*n^2 + 144*n + 216)*x^3)*v[i - 1])/(1 + (3*n + 5)*x + (n^2 + 4*n + 4)*x^2)); 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-c1532953a6736702","steps":["basis A013609","(\u03b8+1)\u00b2"],"edges":["e-9ec880266e74c89d","e-5c5e859694855048"],"text":"A038338 \u2192 basis A013609 \u2192 (\u03b8+1)\u00b2"},"headline":"A038338 \u2192 basis A013609 \u2192 (\u03b8+1)\u00b2","chain":null}