OFFSET
0,3
FORMULA
a(n) = A119692(n)/2.
Sum_{n>=0} a(n)/8^n = 1/sqrt(10). - Amiram Eldar, May 04 2023
G.f.: (1+8*x-sqrt(1-4*x-16*x^2))/(2*sqrt(5)*sqrt(1-4*x-16*x^2)*sqrt(3+4*x+2*sqrt(1-4*x-16*x^2))). - Vladimir Kruchinin, Apr 29 2024
MAPLE
seq(binomial(2*n, n)*combinat[fibonacci](n)/2, n=0..27);
MATHEMATICA
a[n_] := Binomial[2*n, n] * Fibonacci[n] / 2; Array[a, 30, 0] (* Amiram Eldar, May 04 2023 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Zerinvary Lajos, Jun 09 2006
STATUS
approved