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105413504;\n  6:     1406408618241,      4773265613424,      7087576213872,      6013701029952,      3189083879520,      1082355740928,       229590611712,       27829165056,       1475789056;\n  7:    46411484401953,    177207485898366,    300715733645712,    297678200982624,    189431582443488,     80364913763904,     22729470559488,     4132631010816,     438309349632,      20661046784;\n  8:  1531578985264449,   6497607816273420,  12404524012885620,  14033400903466560,  10418737034391840,   5304084308417664,   1875181321157760,   454589411189760,   72321042689280,    6818145438720,    289254654976;\n  9: 50542106513726817, 235863163730725146, 500315801853053340, 636765565994795160, 540285934783462560, 320897100659268672, 136138163916053376, 41253989065470720, 8750846165402880, 1237493397127680, 104999439756288, 4049565169664;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (33+14*x)*P(n-1,x) for n >= 1, with P(0,x) = 1089 + 924*x + 196*x^2.","mathematica":"P[0, x_] := 1089 + 924*x + 196*x^2;\nP[n_, x_] := P[n, x] = Expand[(33 + 14*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] = 1089 + 924*x + 196*x^2; for(n = 1, N, my(i = n + 1); v[i] = (33 + 14*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-5cf6acfdac607d6d","steps":["basis A013609","x \u21a6 x+1"],"edges":["e-20f4338b8f3f0a8d","e-38855dbf53b5d371"],"text":"A038333 \u2192 basis A013609 \u2192 x \u21a6 x+1"},"headline":"A038333 \u2192 basis A013609 \u2192 x \u21a6 x+1","chain":null}