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%I #10 May 05 2023 01:38:14
%S 0,2,24,720,10080,157500,2128896,28420392,363242880,4552582320,
%T 55888690000,676114951512,8074566549504,95423851304600,
%U 1117539519314400,12986826568200000,149901793906152960,1720026938417810220,19632840460239283200,223048221338080399800
%N a(n) = n^2*binomial(2*n, n)*Fibonacci(n)^2.
%F Sum_{n>=0} a(n)/16^n = (14 + 5*sqrt(19165 + 178*sqrt(5)))/(250*sqrt(5)). - _Amiram Eldar_, May 05 2023
%p [seq(fib(n)^2*n^2*binomial(2*n, n), n=0..25)];
%t Table[n^2 Binomial[2n,n]Fibonacci[n]^2,{n,0,20}] (* _Harvey P. Dale_, Jul 21 2019 *)
%Y Cf. A000045, A000984.
%K nonn,easy
%O 0,2
%A _Zerinvary Lajos_, Jun 09 2006
%E Definition corrected by _Harvey P. Dale_, Jul 21 2019
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