OFFSET
0,2
LINKS
Fung Lam, Table of n, a(n) for n = 0..1000
FORMULA
G.f. = (g.f. of A032443)^2.
n*a(n) = 32*(2*n-3)*a(n-3) + 48*(1-n)*a(n-2) + 6*(2*n-1)*a(n-1).
Asymptotics: a(n) ~ 2^(2*n)*((n+2)/4 + sqrt(n/Pi)).
Recurrence: (n-2)*n*a(n) = 2*n*(4*n-7)*a(n-1) - 8*(n-1)*(2*n-1)*a(n-2). - Vaclav Kotesovec, Apr 16 2014
MATHEMATICA
CoefficientList[Series[((1/Sqrt[1-4*x] + 1/(1-4*x))/2)^2, {x, 0, 20}], x] (* Vaclav Kotesovec, Apr 16 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Fung Lam, Apr 13 2014
STATUS
approved