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      4320,                1296;\n  1:             76032,             248832,              233280,                46656;\n  2:           2322432,           10948608,            17915904,             11197440,              1679616;\n  3:          67682304,          418037760,           985374720,           1074954240,            503884800,             60466176;\n  4:        1911029760,        14619377664,         45148078080,          70946979840,          58047528960,          21767823360,           2176782336;\n  5:       52744421376,       481579499520,       1842041585664,        3792438558720,        4469659729920,        2925595459584,         914248581120,          78364164096;\n  6:     1430979084288,     15190393356288,      69347447930880,      176835992223744,      273055576227840,      257452400443392,      140428582060032,       37614798766080,        2821109907456;\n  7:    38306209333248,    463637223309312,    2460843723718656,     7489524376535040,    14323715370123264,    17694001339564032,    13902429623943168,     6499837226778624,     1523399350026240,      101559956668416;\n  8:  1014454095446016,  13790235359969280,   83454700195676160,   295301246846238720,   674057193888153600,  1031307506648875008,  1061640080373841920,   714982094945648640,   292492675205038080,    60935974001049600,    3656158440062976;\n  9: 26629420005457920, 401723821796622336, 2730466601273917440, 11016020425829253120, 29234823437777633280, 53385329755941765120, 68066295438825750528, 60058495975434485760, 35391613699809607680, 12869677709021675520, 2413064570441564160, 131621703842267136;\n","recurrence_sentence":"The row polynomials satisfy (3*n+5+3*x)*P(n,x) = (72*n+192+(108*n+360)*x+108*x^2)*P(n-1,x) for n >= 1, with P(0,x) = 2304 + 4320*x + 1296*x^2.","mathematica":"P[0, x_] := 2304 + 4320*x + 1296*x^2;\nP[n_, x_] := P[n, x] = Expand[Together[((72*n + 192 + (108*n + 360)*x + 108*x^2)*P[n - 1, x])/(3*n + 5 + 3*x)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 2304 + 4320*x + 1296*x^2; for(n = 1, N, my(i = n + 1); v[i] = ((72*n + 192 + (108*n + 360)*x + 108*x^2)*v[i - 1])/(3*n + 5 + 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":["basis A013610","D+1"],"edges":["e-85e8843cd1dca083","e-0bd725fc9dda67f7"],"text":"A038338 \u2192 basis A013610 \u2192 D+1"},"headline":"A038338 \u2192 basis A013610 \u2192 D+1","chain":null}