id:A131688 - OEIS Search Results

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Decimal expansion of the constant sum_{k=1..infinity} log(k+1)/k/(k+1).

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

	OFFSET	`1,2`
	LINKS	`M. W. Coffey, Series of zeta values, the Stieltjes constants, and a sum S_gamma(n), arXiv:math-ph/0706.0345, eq (38a).`
	FORMULA	`Equals sum_{s=1..infinity} (-1)^(s+1)*zeta(s+1)/s.`
	EXAMPLE	`1.257746886944369630009899830495881528511540890508884868977540833522...`
	PROGRAM	`(PARI) sumalt(s=1, (-1)^(s+1)/s*zeta(s+1) );`
	CROSSREFS	`Sequence in context: A066035 A078320 A021392 this_sequence A096624 A069887 A120303` `Adjacent sequences: A131685 A131686 A131687 this_sequence A131689 A131690 A131691`
	KEYWORD	`cons,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 14 2007`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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