A119699 a(n) = n^2*binomial(2*n, n)*Fibonacci(n)^2.

0, 2, 24, 720, 10080, 157500, 2128896, 28420392, 363242880, 4552582320, 55888690000, 676114951512, 8074566549504, 95423851304600, 1117539519314400, 12986826568200000, 149901793906152960, 1720026938417810220, 19632840460239283200, 223048221338080399800

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

Sum_{n>=0} a(n)/16^n = (14 + 5*sqrt(19165 + 178*sqrt(5)))/(250*sqrt(5)). - Amiram Eldar, May 05 2023

Maple

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

Mathematica

Table[n^2 Binomial[2n, n]Fibonacci[n]^2, {n, 0, 20}] (* Harvey P. Dale, Jul 21 2019 *)

Crossrefs

Cf. A000045, A000984.

Sequence in context: A309205 A279331 A354378 * A188959 A093459 A279236

Adjacent sequences: A119696 A119697 A119698 * A119700 A119701 A119702

Keyword

nonn,easy

Author

Zerinvary Lajos, Jun 09 2006

Extensions

Definition corrected by Harvey P. Dale, Jul 21 2019

Status

approved