OFFSET
0,3
COMMENTS
Hankel transform is A079935.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..500
FORMULA
G.f.: c(x)/(1+2x), c(x) the g.f. of A000108.
a(n) = Sum_{k=0..n} (-2)^(n-k)*A000108(k).
(n+1)*a(n) + 2*(2-n)*a(n-1) + 4*(1-2*n)*a(n-2)=0. - R. J. Mathar, Nov 16 2011 [Proof in Ekhad/Yang, Theorem 26]
a(n) ~ 2^(2*n + 1) / (3 * sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Mar 08 2018
MATHEMATICA
CoefficientList[Series[(1 - Sqrt[1 - 4*t])/(2*t*(1 + 2*t)), {t, 0, 50}], t] (* G. C. Greubel, Jun 13 2016 *)
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Paul Barry, Nov 04 2009
STATUS
approved