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A119701
a(n) = n*binomial(2*n, n)*Fibonacci(n).
1
0, 2, 12, 120, 840, 6300, 44352, 312312, 2162160, 14877720, 101615800, 690617928, 4672781568, 31503417400, 211735414800, 1419325308000, 9492261518880, 63355075266780, 422102693073600, 2807792411008200, 18650635349346000, 123727184566025040, 819845328421788240
OFFSET
0,2
LINKS
FORMULA
Sum_{n>=0} a(n)/8^n = 7/sqrt(10). - Amiram Eldar, May 05 2023
MAPLE
[seq(n*binomial(2*n, n)*fib(n), n=0..27)];
MATHEMATICA
Table[n Binomial[2n, n]Fibonacci[n], {n, 0, 20}] (* Harvey P. Dale, Oct 22 2011 *)
CROSSREFS
Sequence in context: A255506 A095717 A089431 * A362457 A364422 A286629
KEYWORD
nonn,easy
AUTHOR
Zerinvary Lajos, Jun 09 2006
STATUS
approved