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A119699
a(n) = n^2*binomial(2*n, n)*Fibonacci(n)^2.
0
0, 2, 24, 720, 10080, 157500, 2128896, 28420392, 363242880, 4552582320, 55888690000, 676114951512, 8074566549504, 95423851304600, 1117539519314400, 12986826568200000, 149901793906152960, 1720026938417810220, 19632840460239283200, 223048221338080399800
OFFSET
0,2
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
Sequence in context: A309205 A279331 A354378 * A137891 A188959 A093459
KEYWORD
nonn,easy
AUTHOR
Zerinvary Lajos, Jun 09 2006
EXTENSIONS
Definition corrected by Harvey P. Dale, Jul 21 2019
STATUS
approved