login
G.f.: V(x)^(1/4), where V(x) = Sum_{n >= 0} A065409(n)*x^n.
2

%I #11 Sep 26 2019 03:26:56

%S 1,2,30,420,5766,79356,1105868,15656200,225102726,3280346476,

%T 48334394756,718513364856,10756854024476,161965917024856,

%U 2450288410421976,37217243114489616,567231522298906566,8671114430550556236,132902927261011018836,2041798846285571043096

%N G.f.: V(x)^(1/4), where V(x) = Sum_{n >= 0} A065409(n)*x^n.

%F a(n) ~ 2^(4*n + 1/4) / (Gamma(1/4) * Pi^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Sep 26 2019

%t CoefficientList[Series[(HypergeometricPFQ[{-1/2, 1/2}, {1}, 32*x - 256*x^2]/(1 - 16*x))^(1/4), {x, 0, 20}], x] (* _Vaclav Kotesovec_, Sep 26 2019 *)

%Y Cf. A065409, A046105, A026301.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, following a suggestion of _Peter J Larcombe_, Jan 16 2004

%E More terms from _Vaclav Kotesovec_, Sep 26 2019