A119692 a(n) = binomial(2*n,n) * Fibonacci(n).

0, 2, 6, 40, 210, 1260, 7392, 44616, 270270, 1653080, 10161580, 62783448, 389398464, 2423339800, 15123958200, 94621687200, 593266344930, 3726769133340, 23450149615200, 147778547947800, 932531767467300, 5891770693620240, 37265696746444920, 235945424360833200

Offset

0,2

Links

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

Formula

a(n) = 2 * A119693(n).

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

G.f.: -(2*sqrt(-16*x^2-4*x+1)-16*x-2)/(sqrt(10)*sqrt(-16*x^2-4*x+1)*sqrt(4*sqrt(-16*x^2-4*x+1)+8*x+6)). - Vladimir Kruchinin, Apr 17 2024

Maple

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

Mathematica

Table[Binomial[2n, n]Fibonacci[n], {n, 0, 20}] (* Harvey P. Dale, Feb 29 2012 *)

Crossrefs

Cf. A000045, A000984, A119693.

Sequence in context: A027161 A081096 A350971 * A264152 A333631 A337071

Adjacent sequences: A119689 A119690 A119691 * A119693 A119694 A119695

Keyword

easy,nonn

Author

Zerinvary Lajos, Jun 09 2006

Status

approved