A119697 a(n) = Fibonacci(n)*n*binomial(2*n,n)/(n+1).

0, 1, 4, 30, 168, 1050, 6336, 39039, 240240, 1487772, 9237800, 57551494, 359444736, 2250244100, 14115694320, 88707831750, 558368324640, 3519726403710, 22215931214400, 140389620550410, 888125492826000, 5623962934819320, 35645449061816880, 226114365012465150

Offset

0,3

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = n * A119694(n).

Sum_{n>=0} a(n)/8^n = 7*sqrt(2/5) - 4. - Amiram Eldar, May 04 2023

Maple

seq(binomial(2*n, n)*n*combinat[fibonacci](n)/(n+1), n=0..27);

Mathematica

Table[Fibonacci[n]n Binomial[2n, n]/(n+1), {n, 0, 40}] (* Harvey P. Dale, Apr 29 2022 *)

Crossrefs

Cf. A000045, A000984, A119694.

Sequence in context: A305525 A316999 A217213 * A316817 A317567 A132849

Adjacent sequences: A119694 A119695 A119696 * A119698 A119699 A119700

Keyword

easy,nonn

Author

Zerinvary Lajos, Jun 09 2006

Status

approved