A060042 G.f.: V(x)^(1/4), where V(x) = Sum_{n >= 0} A065409(n)*x^n.

1, 2, 30, 420, 5766, 79356, 1105868, 15656200, 225102726, 3280346476, 48334394756, 718513364856, 10756854024476, 161965917024856, 2450288410421976, 37217243114489616, 567231522298906566, 8671114430550556236, 132902927261011018836, 2041798846285571043096

Offset: 0

Author

N. J. A. Sloane, following a suggestion of Peter J Larcombe, Jan 16 2004

Keywords

• nonn

Crossrefs

Cf. A065409, A046105, A026301.

Programs

Mathematica

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 *)

Formula

a(n) ~ 2^(4*n + 1/4) / (Gamma(1/4) * Pi^(1/4) * n^(3/4)). - Vaclav Kotesovec, Sep 26 2019

Extensions

More terms from Vaclav Kotesovec, Sep 26 2019