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    2985984;\n  5:      20639121408,       64210599936,        84276412416,        60197437440,        25082265600,        6019743744,         752467968,          35831808;\n  6:     550376570880,     1981355655168,      3082108796928,      2696845197312,      1444738498560,      481579499520,       96315899904,       10319560704,        429981696;\n  7:   14529941471232,    59440669655040,    106993205379072,    110955916689408,     72814820327424,    31206351568896,     8668430991360,     1486016741376,     139314069504,      5159780352;\n  8:  380420285792256,  1743592976547840,   3566440179302400,   4279728215162880,   3328677500682240,  1747555687858176,   624127031377920,   148601674137600,   22290251120640,   1857520926720,    61917364224;\n  9: 9890927430598656, 50215477724577792, 115077136452157440, 156923367889305600, 141231031100375040, 87877086018011136, 38446225132879872, 11769252591697920, 2451927623270400, 326923683102720, 24519276232704, 743008370688;\n","recurrence_sentence":"The row polynomials satisfy (n+3+x)*P(n,x) = (24*n+96+(12*n+72)*x+12*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 1152 + 864*x + 144*x^2.","mathematica":"P[0, x_] := 1152 + 864*x + 144*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((24*n + 96 + (12*n + 72)*x + 12*x^2)*P[n - 1, x])/(n + 3 + x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1152 + 864*x + 144*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((24*n + 96 + (12*n + 72)*x + 12*x^2)*v[i - 1])/(n + 3 + x)); 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":["x \u21a6 x+1","D+1"],"edges":["e-240272ddc3b4d83d","e-774a7e7a58b8f49c"],"text":"A038338 \u2192 x \u21a6 x+1 \u2192 D+1"},"headline":"A038338 \u2192 x \u21a6 x+1 \u2192 D+1","chain":null}