A119701 a(n) = n*binomial(2*n, n)*Fibonacci(n).

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

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

Cf. A000984, A000045.

Sequence in context: A255506 A095717 A089431 * A362457 A364422 A286629

Adjacent sequences: A119698 A119699 A119700 * A119702 A119703 A119704

Keyword

nonn,easy

Author

Zerinvary Lajos, Jun 09 2006

Status

approved