login
a(n) = Fibonacci(n)*n^2*(binomial(2*n, n))^2/(n+1).
0

%I #8 Sep 18 2024 16:34:07

%S 0,2,48,1800,47040,1323000,35126784,937872936,24735110400,

%T 651019271760,17067389768000,446585320669488,11663935674273792,

%U 304250554223980000,7927831278607968000,206402082984558900000,5369988005412124953600

%N a(n) = Fibonacci(n)*n^2*(binomial(2*n, n))^2/(n+1).

%p [seq(fib(n)*n^2*(binomial(2*n, n))^2/(n+1),n=0..20)];

%t Table[Fibonacci[n]*n^2*(Binomial[2n,n])^2/(n+1),{n,0,16}] (* _James C. McMahon_, Sep 18 2024 *)

%Y Cf. A000045, A000984.

%K easy,nonn

%O 0,2

%A _Zerinvary Lajos_, Jun 09 2006