id:A082689 - OEIS Search Results

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Numerator of n*sum(k=1,(-1)^(k+1)/(n+k)).

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1, 1, 13, 43, 347, 1013, 36331, 20431, 973993, 5386001, 15273079, 104604613, 1495109359, 1357580423, 113225690813, 2150797323119, 6214827398881, 1922198200679, 206285491870477, 64286037044903, 7668497434066577 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`limit n->infinity n*sum(k=1, (-1)^(k+1)/(n+k)) = 1/4`
	CROSSREFS	`Cf. A082690 (denominators).` `Adjacent sequences: A082686 A082687 A082688 this_sequence A082690 A082691 A082692` `Sequence in context: A135241 A104115 A063650 this_sequence A123294 A015247 A033652`
	KEYWORD	`frac,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 12 2003`

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.

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