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

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

Cf. A000984, A000045.

Sequence in context: A220340 A366003 A134805 * A126804 A344057 A170913

Adjacent sequences: A119699 A119700 A119701 * A119703 A119704 A119705

Keyword

nonn,easy

Author

Zerinvary Lajos, Jun 09 2006

Status

approved