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A143296
Decimal expansion of the transcendental root c used to compute the Zolotarev-Schur constant.
1
9, 1, 5, 5, 0, 2, 0, 5, 5, 3, 8, 9, 6, 7, 6, 3, 9, 6, 3, 0, 5, 5, 2, 4, 0, 3, 6, 4, 0, 1, 6, 6, 2, 2, 8, 9, 6, 5, 4, 3, 1, 2, 9, 4, 2, 2, 8, 8, 4, 6, 0, 7, 6, 6, 7, 5, 0, 1, 7, 7, 6, 3, 4, 0, 0, 3, 9, 7, 8, 8, 0, 2, 7, 5, 4, 6, 1, 2, 2, 1, 6, 7, 9, 7, 9, 2, 3, 7, 7, 4, 4, 8, 3, 0, 9, 6, 9, 2, 8, 1, 8, 8, 5, 8, 0
OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Zolotarev-Schur Constant
EXAMPLE
0.91550205538967639630...
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]; RealDigits[c0, 10, 105] // First (* Jean-François Alcover, Feb 07 2013, after Eric W. Weisstein *)
CROSSREFS
Cf. A143295.
Sequence in context: A100924 A350885 A258268 * A198355 A205326 A021526
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Aug 05 2008
STATUS
approved