id:A084258 - OEIS Search Results

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Decimal expansion of c=sum(k>=1, coth(Pi*k)/k^3 ).

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1, 2, 0, 5, 7, 9, 9, 6, 4, 8, 6, 7, 8, 3, 2, 6, 3, 4, 0, 1, 5, 7, 4, 1, 2, 2, 5, 2, 6, 0, 9, 4, 9, 8, 7, 0, 2, 3, 0, 8, 7, 6, 1, 2, 2, 2, 0, 0, 6, 6, 4, 3, 0, 7, 6, 9, 9, 4, 5, 0, 9, 8, 1, 5, 1, 4, 8, 0, 2, 6, 4, 6, 9, 0, 1, 2, 5, 5, 5, 2, 3, 4, 7, 9, 4, 2, 6, 0, 5, 9, 5, 7, 1, 2, 3, 3, 4, 4, 6, 3, 0, 6, 2, 2, 8, 2, 5, 2 (list; cons; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Splitting the infinite sum Simon Plouffe unearthed a rapidly converging series for zeta(3).`
	REFERENCES	`Bruce C. Berndt, Ramanujan Notebook part II, Infinite series, Springer Verlag, p. 293.`
	LINKS	`Simon Plouffe, Formulae for zeta(2n+1).`
	FORMULA	`c=7*Pi^3/180`
	PROGRAM	`(PARI) 7*Pi^3/180`
	CROSSREFS	`Sequence in context: A140571 A078049 A021490 this_sequence A111352 A133446 A011122` `Adjacent sequences: A084255 A084256 A084257 this_sequence A084259 A084260 A084261`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 21 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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