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A143295 Decimal expansion of the Zolotarev-Schur constant. 1
3, 1, 1, 0, 7, 8, 8, 6, 6, 7, 0, 4, 8, 1, 9, 2, 0, 9, 0, 2, 7, 5, 4, 6, 9, 5, 9, 0, 9, 1, 4, 2, 1, 8, 0, 2, 6, 4, 8, 9, 5, 7, 1, 5, 8, 4, 3, 2, 8, 5, 8, 6, 7, 4, 5, 4, 9, 4, 9, 4, 9, 1, 7, 0, 6, 7, 9, 5, 7, 5, 2, 8, 3, 1, 9, 2, 0, 2, 7, 5, 3, 3, 0, 7, 1, 2, 0, 5, 2, 7, 1, 6, 3, 8, 4, 9, 5, 1, 7, 1, 5, 8, 7, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Zolotarev-Schur Constant

EXAMPLE

0.31107886670481920902...

MATHEMATICA

c0 = c /. FindRoot[ EllipticE[c^2]^3 - 3*EllipticK[c^2]*EllipticE[c^2]^2 + (c^2 + 3*EllipticK[c^2]^2 + 1)*EllipticE[c^2] + EllipticK[c^2]*(c^2 - EllipticK[c^2]^2 - 1) == 0, {c, 9/10}, WorkingPrecision -> 110]; sigma = (1 - EllipticE[c0^2]/EllipticK[c0^2])^2/c0^2; RealDigits[sigma, 10, 105] // First (* Jean-Fran├žois Alcover, Feb 07 2013, after Eric W. Weisstein *)

CROSSREFS

Cf. A143296.

Sequence in context: A175946 A115378 A120060 * A289978 A185983 A179742

Adjacent sequences:  A143292 A143293 A143294 * A143296 A143297 A143298

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Aug 05 2008

STATUS

approved

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Last modified July 20 14:50 EDT 2017. Contains 289625 sequences.