id:A130786 - OEIS Search Results

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Decimal expansion of the complete elliptic integral of the first kind at sqrt(2)-1.

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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; cons; graph; listen)

	OFFSET	`1,2`
	LINKS	`H. S. Wrigge, An Elliptic Integral Identity, Math. Comp. 27 (1973) no 124, p 839.`
	EXAMPLE	`Equals 1.64556839529345803986605168528707271599955702605540103726529213714...` `which equals K[sqrt(2)-1] = Pi^(3/2)sqrt[2+sqrt(2)]/(4Gamma(5/8)Gamma(7/8))` `= 5.5683279... 1.8477590650.. / ( 4 * 1.43451884..... * 1.0896523574...).`
	MAPLE	`evalf(EllipticK(sqrt(2)-1));`
	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`
	CROSSREFS	`Sequence in context: A021159 A106332 A140246 this_sequence A153606 A086057 A065445` `Adjacent sequences: A130783 A130784 A130785 this_sequence A130787 A130788 A130789`
	KEYWORD	`cons,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 15 2007`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 19 2007`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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