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A119698
a(n) = n^3*binomial(2*n, n)*Fibonacci(n)^2.
0
0, 2, 48, 2160, 40320, 787500, 12773376, 198942744, 2905943040, 40973240880, 558886900000, 7437264466632, 96894798594048, 1240510066959800, 15645553270401600, 194802398523000000, 2398428702498447360, 29240457953102773740, 353391128284307097600
OFFSET
0,2
FORMULA
Sum_{n>=0} a(n)/16^n = (2 + sqrt(2743525 + 5578*sqrt(5)))/(100*sqrt(5)). - Amiram Eldar, May 05 2023
MAPLE
[seq(combinat:-fibonacci(n)^2*n^3*binomial(2*n, n), n=0..20)];
MATHEMATICA
a[n_] := n^3 * Binomial[2 n, n] * Fibonacci[n]^2; Array[a, 25, 0] (* Amiram Eldar, May 05 2023 *)
PROG
(PARI) a(n) = n^3*binomial(2*n, n)*fibonacci(n)^2; \\ Michel Marcus, Sep 07 2014
CROSSREFS
Sequence in context: A348322 A186284 A119695 * A112103 A367254 A177317
KEYWORD
nonn,easy
AUTHOR
Zerinvary Lajos, Jun 09 2006
EXTENSIONS
Title corrected by Derek Orr, Sep 07 2014
Maple program corrected by Robert Israel, Sep 07 2014
More terms from Michel Marcus, Sep 08 2014
STATUS
approved