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A328128 G.f.: K(4*sqrt(x)) / E(4*sqrt(x)), where E(), K() are complete elliptic integrals. 2
1, 8, 80, 896, 10784, 136448, 1790720, 24160256, 333053504, 4670325248, 66403043840, 954931245056, 13863783325184, 202898094829568, 2989879597076480, 44320135356317696, 660370844304147584, 9884176356444627968, 148535796374189204480, 2240105752104228970496 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 2 06:52 EDT 2021. Contains 346411 sequences. (Running on oeis4.)