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 A193962 Mirror of the triangle A193961. 2
 1, 4, 1, 40, 17, 4, 184, 98, 40, 9, 584, 354, 184, 73, 16, 1484, 979, 584, 298, 116, 25, 3248, 2275, 1484, 874, 440, 169, 36, 6384, 4676, 3248, 2099, 1224, 610, 232, 49, 11568, 8772, 6384, 4403, 2824, 1634, 808, 305, 64, 19668, 15333, 11568, 8372 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A193962 is obtained by reversing the rows of the triangle A193961. LINKS Table of n, a(n) for n=0..48. FORMULA Write w(n,k) for the triangle at A193961. The triangle at A193962 is then given by w(n,n-k). EXAMPLE First six rows: 1 4......1 40.....17....4 184....98....40....9 584....354...184...73...16 1484...979...584...298..116..25 MATHEMATICA z = 12; p[n_, x_] := Sum[((k + 1)^2)*x^(n - k), {k, 0, n}] q[n_, x_] := p[n, x] t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0; w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1 g[n_] := CoefficientList[w[n, x], {x}] TableForm[Table[Reverse[g[n]], {n, -1, z}]] Flatten[Table[Reverse[g[n]], {n, -1, z}]] (* A193961 *) TableForm[Table[g[n], {n, -1, z}]] Flatten[Table[g[n], {n, -1, z}]] (* A193962 *) CROSSREFS Cf. A193961. Sequence in context: A297900 A363819 A298495 * A369868 A302441 A373459 Adjacent sequences: A193959 A193960 A193961 * A193963 A193964 A193965 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 10 2011 STATUS approved

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Last modified June 19 00:22 EDT 2024. Contains 373492 sequences. (Running on oeis4.)