A119696 a(n) = Fibonacci(n)*n^3*(binomial(2*n, n))^2/(n+1).

0, 2, 96, 5400, 188160, 6615000, 210760704, 6565110552, 197880883200, 5859173445840, 170673897680000, 4912438527364368, 139967228091285504, 3955257204911740000, 110989637900511552000, 3096031244768383500000, 85919808086593999257600, 2373746418806411365021800

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

a(n) ~ (16*phi)^n * n / (sqrt(5)*Pi), where phi is the golden ratio (A001622). - Amiram Eldar, Jul 25 2026

Maple

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

Mathematica

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

Crossrefs

Cf. A000045, A000984, A001622.

Sequence in context: A362406 A157065 A123115 * A264542 A064069 A065128

Adjacent sequences: A119693 A119694 A119695 * A119697 A119698 A119699

Keyword

easy,nonn,changed

Author

Zerinvary Lajos, Jun 09 2006

Extensions

More terms from Amiram Eldar, Jul 25 2026

Status

approved