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317447424,  595213920,  714256704,  535692528,  229582512,   43046721;\n  9: 10077696, 136048896, 816293376, 2857026816, 6428310336, 9642465504, 9642465504, 6198727824, 2324522934, 387420489;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = (6+9*x)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(6 + 9*x)*P[n - 1, x]];\nTable[PadRight[CoefficientList[P[n, x], x], n + 1], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = (6 + 9*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c = concat(c, vector(n + 1 - #c)); 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":true}},{"oeis_id":"A038296","target":"reversed_triangle","first_row":0,"oeis_offset":0,"reversed":true,"trim_zeros":"none","regular_triangle":true,"rows_shown":10,"polytool_commit":"c48629374597092cc41ef4d6273f37991516f984","triangle_example":"Triangle begins:\n  0:         1;\n  1:         9,          6;\n  2:        81,        108,         36;\n  3:       729,       1458,        972,        216;\n  4:      6561,      17496,      17496,       7776,       1296;\n  5:     59049,     196830,     262440,     174960,      58320,       7776;\n  6:    531441,    2125764,    3542940,    3149280,    1574640,     419904,      46656;\n  7:   4782969,   22320522,   44641044,   49601160,   33067440,   13226976,    2939328,    279936;\n  8:  43046721,  229582512,  535692528,  714256704,  595213920,  317447424,  105815808,  20155392,   1679616;\n  9: 387420489, 2324522934, 6198727824, 9642465504, 9642465504, 6428310336, 2857026816, 816293376, 136048896, 10077696;\n","recurrence_sentence":"Row n lists the coefficients of P(n,x) in descending powers of x, where P(n,x) = (6+9*x)*P(n-1,x) for n >= 1, with P(0,x) = 1.","mathematica":"P[0, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[(6 + 9*x)*P[n - 1, x]];\nTable[Reverse[PadRight[CoefficientList[P[n, x], x], n + 1]], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 1; for(n = 1, N, my(i = n + 1); v[i] = (6 + 9*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c = concat(c, vector(n + 1 - #c)); c = Vecrev(c); 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":true,"trim_zeros":"none","regular_triangle":true}}],"derivation":{"root":"n-8d88ef9de74b305f","steps":["basis A013610"],"edges":["e-b88e4ed4246b1dea"],"text":"A038221 \u2192 basis A013610"},"headline":"A038221 \u2192 basis A013610","chain":null}