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A072558
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Decimal expansion of One-ninth constant.
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4
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1, 0, 7, 6, 5, 3, 9, 1, 9, 2, 2, 6, 4, 8, 4, 5, 7, 6, 6, 1, 5, 3, 2, 3, 4, 4, 5, 0, 9, 0, 9, 4, 7, 1, 9, 0, 5, 8, 7, 9, 7, 6, 5, 6, 3, 2, 9, 0, 1, 1, 5, 0, 8, 6, 6, 9, 8, 5, 6, 8, 1, 4, 6, 9, 8, 1, 9, 2, 4, 3, 4, 1, 4, 6, 2, 6, 4, 2, 6, 4, 3, 4, 1, 2, 7, 7, 6, 1, 9, 9, 0, 4, 0, 9, 1, 5, 8, 7, 3, 1, 9, 2, 9, 6, 7
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| The generating function of A113184 equals 1/8 at q = Lambda = 0.1076539192... where K(k)=2E(k). - Michael Somos Jul 21 2006
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REFERENCES
| S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 259-262.
Alphonse P. Magnus, Jean Meinguet, The elliptic functions and integrals of the `1/9' problem, presented at Antwerpen international conference on rational approximation, 1999, ICRA99, Numerical Algorithms 24: (1-2) (2000) 117-139.
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LINKS
| S. R. Finch, The One-Ninth Constant
Alphonse P. Magnus, Jean Meinguet, The elliptic functions and integrals of the '1/9' problem
Simon Plouffe, The One-ninth constant
Eric Weisstein's World of Mathematics, One-Ninth Constant
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EXAMPLE
| 0.1076539192264845766153234450909471905879...
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MATHEMATICA
| c = k /. FindRoot[ EllipticK[k^2] == 2*EllipticE[k^2], {k, 9/10}, WorkingPrecision -> 120]; Take[ RealDigits[ N[Exp[-Pi*(EllipticK[1 - c^2] / EllipticK[c^2])], 120]][[1]], 105] (* From Jean-François Alcover, Jul 28 2011, after MathWorld *)
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CROSSREFS
| Cf. A073007, A072559.
Sequence in context: A198816 A196553 A101464 * A022963 A023449 A031098
Adjacent sequences: A072555 A072556 A072557 * A072559 A072560 A072561
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KEYWORD
| cons,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002
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