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 A193960 Mirror of the triangle A193959. 2
 1, 1, 1, 9, 5, 4, 36, 23, 13, 9, 116, 71, 45, 25, 16, 316, 196, 120, 75, 41, 25, 784, 484, 300, 183, 113, 61, 36, 1813, 1121, 692, 428, 260, 159, 85, 49, 3989, 2465, 1524, 940, 580, 351, 213, 113, 64, 8444, 5219, 3225, 1993, 1228, 756, 456, 275, 145, 81 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS A193960 is obtained by reversing the rows of the triangle A193959. LINKS Table of n, a(n) for n=0..54. FORMULA Write w(n,k) for the triangle at A193959. The triangle at A193960 is then given by w(n,n-k). EXAMPLE First six rows: 1 1.....1 9.....5....4 36....23...13...9 116...71...45...25..16 316...196..120..75..41..25 MATHEMATICA z = 12; p[n_, x_] := Sum[((k + 1)^2)*x^(n - k), {k, 0, n}] q[n_, x_] := Sum[Fibonacci[k + 1]*x^(n - k), {k, 0, n}]; 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}]] (* A193959 *) TableForm[Table[g[n], {n, -1, z}]] Flatten[Table[g[n], {n, -1, z}]] (* A193960 *) CROSSREFS Cf. A193959. Sequence in context: A259148 A089491 A199792 * A195696 A362000 A197838 Adjacent sequences: A193957 A193958 A193959 * A193961 A193962 A193963 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 10 2011 STATUS approved

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Last modified July 19 18:18 EDT 2024. Contains 374410 sequences. (Running on oeis4.)