A088374 Decimal expansion of a postulated upper estimate for the complex Grothendieck constant.

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Grothendieck's Constant

Example

1.4049091327357955...

Mathematica

psi[x_] := (Sqrt[1 - x^2]*(EllipticE[-x^2/(1 - x^2)] - EllipticK[-x^2/(1 - x^2)]))/x; x0 = x /. FindRoot[psi[x] == 1/8*Pi*(x + 1), {x, 1/2}, WorkingPrecision -> 110]; RealDigits[8/(Pi*(x0 + 1)), 10, 102] // First (* Jean-François Alcover, Feb 06 2013 *)

Crossrefs

Cf. A088367, A088373, A088375.

Sequence in context: A055951 A165032 A345203 * A156732 A200341 A101980

Adjacent sequences: A088371 A088372 A088373 * A088375 A088376 A088377

Keyword

nonn,cons

Author

Eric W. Weisstein, Sep 28 2003

Status

approved