A026301 Expansion of g.f. sqrt(V(x)), where V(x) = Sum_{n >= 0} A065409(n)*x^n.

1, 4, 64, 960, 14112, 206976, 3051520, 45340672, 679088128, 10244538368, 155497791488, 2372333207552, 36346971717632, 558853784207360, 8618409948348416, 133250263847796736, 2064775104923041792, 32056922218818961408, 498560128589437599744

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Formula

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

Mathematica

CoefficientList[Series[Sqrt[HypergeometricPFQ[{-1/2, 1/2}, {1}, 32*x - 256*x^2]/(1 - 16*x)], {x, 0, 20}], x] (* Vaclav Kotesovec, Sep 26 2019 *)

Crossrefs

Cf. A065409, A046105, A060042.

Sequence in context: A053957 A145244 A268165 * A010042 A154021 A013709

Adjacent sequences: A026298 A026299 A026300 * A026302 A026303 A026304

Keyword

nonn

Author

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

Extensions

More terms from Sean A. Irvine, Sep 25 2019

Status

approved