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A073007 Decimal expansion of Varga constant. 3
9, 2, 8, 9, 0, 2, 5, 4, 9, 1, 9, 2, 0, 8, 1, 8, 9, 1, 8, 7, 5, 5, 4, 4, 9, 4, 3, 5, 9, 5, 1, 7, 4, 5, 0, 6, 1, 0, 3, 1, 6, 9, 4, 8, 6, 7, 7, 5, 0, 1, 2, 4, 4, 0, 8, 2, 3, 9, 7, 0, 0, 6, 1, 4, 2, 1, 7, 2, 9, 3, 7, 5, 2, 4, 7, 2, 8, 6, 5, 0, 7, 0, 7, 0, 5, 2, 4, 1, 5, 8, 7, 0, 6, 1, 4, 2, 4, 7, 1, 4, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equals the reciprocal of the one-ninth constant A072558.

LINKS

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

Alphonse P. Magnus and Jean Meinguet, The elliptic functions and integrals of the '1/9' problem

Simon Plouffe, One-ninth constant

Eric Weisstein's World of Mathematics, One-Ninth Constant

EXAMPLE

9.28902549192081891875544943595174506...

MATHEMATICA

nmax=250; c = k /. FindRoot[EllipticK[k^2] == 2*EllipticE[k^2], {k, 9/10}, WorkingPrecision -> nmax]; Take[RealDigits[1/N[Exp[-Pi*(EllipticK[1 - c^2]/EllipticK[c^2])], nmax]][[1]], 200] (* G. C. Greubel, Mar 10 2018 *)

RealDigits[v /. FindRoot[4 EllipticE[InverseEllipticNomeQ[1/v]] == Pi EllipticTheta[3, 0, 1/v]^2, {v, 9, 9, 10}, WorkingPrecision -> 101]][[1]] (* Jan Mangaldan, Jun 25 2020 *)

CROSSREFS

Cf. A072558.

Sequence in context: A144664 A241560 A309821 * A157215 A021919 A078127

Adjacent sequences:  A073004 A073005 A073006 * A073008 A073009 A073010

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, Aug 03 2002

STATUS

approved

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Last modified June 21 04:10 EDT 2021. Contains 345354 sequences. (Running on oeis4.)