A119702 - OEIS

A119702

a(n) = n^2*binomial(2*n, n)*Fibonacci(n).

0, 2, 24, 360, 3360, 31500, 266112, 2186184, 17297280, 133899480, 1016158000, 7596797208, 56073378816, 409544426200, 2964295807200, 21289879620000, 151876184302080, 1077036279535260, 7597848475324800, 53348055809155800, 373012706986920000, 2598270875886525840

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

FORMULA

Sum_{n>=0} a(n)/8^n = 101/(2*sqrt(10)). - Amiram Eldar, May 05 2023

MAPLE

[seq((n^2*binomial(2*n, n))*fib(n), n=0..25)];

MATHEMATICA

a[n_] := n^2 * Binomial[2 n, n] * Fibonacci[n]; Array[a, 25, 0] (* Amiram Eldar, May 05 2023 *)

CROSSREFS