A240965 Decimal expansion of integral_(0..1) K(1-x^2)^3 dx, where K is the complete elliptic integral of the first kind.

2, 3, 6, 3, 4, 0, 9, 0, 0, 1, 6, 1, 5, 4, 2, 3, 1, 5, 3, 6, 6, 3, 2, 6, 7, 4, 5, 6, 6, 8, 6, 5, 1, 6, 4, 1, 7, 4, 8, 4, 1, 3, 9, 5, 1, 5, 8, 8, 6, 1, 3, 9, 3, 2, 8, 8, 5, 2, 9, 0, 5, 2, 6, 8, 0, 3, 8, 1, 9, 4, 8, 7, 8, 2, 6, 2, 0, 5, 9, 5, 9, 1, 2, 0, 8, 1, 5, 2, 0, 7, 9, 6, 6, 3, 0, 5, 8, 8, 1, 1, 6, 7, 5, 5, 5

Offset

2,1

Links

Table of n, a(n) for n=2..106.

M. Rogers, J. G. Wan, and I. J. Zucker, Moments of elliptic entegrals and critical L-values.

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

Formula

Gamma(1/4)^8/(128*Pi^2).

Example

23.634090016154231536632674566865164174841395158861393288529...

Mathematica

(* NIntegrate[EllipticK[1 - x^2]^3, {x, 0, 1}] *)
RealDigits[Gamma[1/4]^8/(128*Pi^2), 10, 105] // First

Crossrefs

Cf. A068466.

Sequence in context: A224504 A216059 A261814 * A084228 A328571 A275733

Adjacent sequences: A240962 A240963 A240964 * A240966 A240967 A240968

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 05 2014

Status

approved