A328128 G.f.: K(4*sqrt(x)) / E(4*sqrt(x)), where E(), K() are complete elliptic integrals.

1, 8, 80, 896, 10784, 136448, 1790720, 24160256, 333053504, 4670325248, 66403043840, 954931245056, 13863783325184, 202898094829568, 2989879597076480, 44320135356317696, 660370844304147584, 9884176356444627968, 148535796374189204480, 2240105752104228970496

Offset

0,2

Comments

Convolution of A002894 and A188266.

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..820

Eric Weisstein's MathWorld, Complete Elliptic Integral of the First Kind.

Eric Weisstein's MathWorld, Complete Elliptic Integral of the Second Kind.

Formula

a(n) ~ 2^(4*n-1) / n.

Maple

seq(coeff(series(EllipticK(4*sqrt(x))/EllipticE(4*sqrt(x)), x, 21), x, n), n = 0..20);

Mathematica

CoefficientList[Series[EllipticK[16*x]/EllipticE[16*x], {x, 0, 20}], x]

Crossrefs

Cf. A002894, A188266, A261976, A328127.

Sequence in context: A320759 A233123 A269796 * A053175 A051580 A228658

Adjacent sequences: A328125 A328126 A328127 * A328129 A328130 A328131

Keyword

nonn

Author

Vaclav Kotesovec, Oct 04 2019

Status

approved