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A130786
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Decimal expansion of the complete elliptic integral of the first kind at sqrt(2)-1.
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0
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1, 6, 4, 5, 5, 6, 8, 3, 9, 5, 2, 9, 3, 4, 5, 8, 0, 3, 9, 8, 6, 6, 0, 5, 1, 6, 8, 5, 2, 8, 7, 0, 7, 2, 7, 1, 5, 9, 9, 9, 5, 5, 7, 0, 2, 6, 0, 5, 5, 4, 0, 1, 0, 3, 7, 2, 6, 5, 2, 9, 2, 1, 3, 7, 1, 4, 9, 5, 7, 8, 8, 6, 3, 7, 2, 9, 3, 3, 0, 8, 7, 1, 5, 9, 3, 1, 8, 4, 1, 2, 9, 8, 3, 2, 0, 4, 8, 0, 6, 6, 5, 8, 5, 9, 9
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| H. S. Wrigge, An Elliptic Integral Identity, Math. Comp. 27 (1973) no 124, p 839.
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EXAMPLE
| Equals 1.64556839529345803986605168528707271599955702605540103726529213714...
which equals K[sqrt(2)-1] = Pi^(3/2)*sqrt[2+sqrt(2)]/(4*Gamma(5/8)*Gamma(7/8))
= 5.5683279... * 1.8477590650.. / ( 4 * 1.43451884..... * 1.0896523574...).
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MAPLE
| evalf(EllipticK(sqrt(2)-1));
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MATHEMATICA
| RealDigits[Pi^(3/2)*Sqrt[2 + Sqrt@2]/(4 Gamma[5/8] Gamma[7/8]), 10, 111][[1]] - Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 19 2007
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CROSSREFS
| Sequence in context: A021159 A106332 A140246 * A197295 A199385 A177159
Adjacent sequences: A130783 A130784 A130785 * A130787 A130788 A130789
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KEYWORD
| cons,nonn
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2007
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 19 2007
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