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Fib(n)*n^3*(binomial(2*n, n))^2/(n+1).
0

%I #8 Feb 15 2014 12:30:13

%S 0,2,96,5400,188160,6615000,210760704,6565110552,197880883200,

%T 5859173445840,170673897680000,4912438527364368,139967228091285504,

%U 3955257204911740000,110989637900511552000,3096031244768383500000

%N Fib(n)*n^3*(binomial(2*n, n))^2/(n+1).

%p [seq((fib(n)*n^3*(binomial(2*n, n))^2/(n+1)), n=0..20)];

%t Table[Fibonacci[n]n^3(Binomial[2n,n])^2/(n+1),{n,0,20}] (* _Harvey P. Dale_, Jun 21 2011 *)

%Y Cf. A000045, A000984.

%K easy,nonn

%O 0,2

%A _Zerinvary Lajos_, Jun 09 2006