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 8349,              1331;\n  2:          279841,           535348,            384054,            122452,             14641;\n  3:         6436343,         15391255,          14722070,           7040990,           1683715,            161051;\n  4:       148035889,        424798638,         507911415,         323885540,         116176335,          22225038,          1771561;\n  5:      3404825447,      11398763453,       16354747563,       13036392985,        6234796645,        1789115559,        285221321,         19487171;\n  6:     78310985281,     299624639336,      501545591932,      479739261848,      286800645670,      109732420952,      26240361532,       3585639464,       214358881;\n  7:   1801152661463,    7752787542819,    14831419647132,    16551004533756,    11873546730738,     5678652784266,    1810584945708,     371113684524,     44372288367,     2357947691;\n  8:  41426511213649,  198126792760930,   426403314855045,   543818720394840,   455152624678290,   261218028076236,  104108634378210,   28452049146840,   5102813162205,   542327968930,   25937424601;\n  9: 952809757913927, 5012607856851529, 11986670962036265, 17198267032486815, 16450516291943910, 11014693517214618, 5267896899537426, 1799592108537630, 430337243345955, 68604488069645, 6562168424053, 285311670611;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (23+11*x)*P(n-1,x) for n >= 1, with P(0,x) = 529 + 506*x + 121*x^2.","mathematica":"P[0, x_] := 529 + 506*x + 121*x^2;\nP[n_, x_] := P[n, x] = Expand[(23 + 11*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 529 + 506*x + 121*x^2; for(n = 1, N, my(i = n + 1); v[i] = (23 + 11*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 - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-344e4bfa9933088a","steps":["basis A007318"],"edges":["e-347b6efdbfa5233f"],"text":"A038337 \u2192 basis A007318"},"headline":"A038337 \u2192 basis A007318","chain":null}