id:A157699 - OEIS Search Results

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Decimal expansion of 2*log(1/2+1/sqrt(2)).

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

	OFFSET	`0,1`
	COMMENT	`Equals sum_{n=1..infinity} (-1)^(n+1)binomial(2n,n)/(n4^n) . A factor 2 is missing in the Lehmer publication.`
	LINKS	`D. H. Lehmer, Interesting series involving the Central Binomial Coefficient, Am. Math. Monthly 92, no 7 (1985) 449-457.`
	FORMULA	`0.3764528129191954316... = 20.1882264064595977158153772035.. = 2log(1.2071067811865...)`
	MAPLE	`2*log(1/2+1/sqrt(2)) ;`
	CROSSREFS	`Sequence in context: A016666 A065281 A019952 this_sequence A159779 A021883 A075785` `Adjacent sequences: A157696 A157697 A157698 this_sequence A157700 A157701 A157702`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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