id:A157701 - OEIS Search Results

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Decimal expansion of 2*(14*sigma+5)/625 where sigma = sqrt(5)*log(golden ratio).

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

	OFFSET	`0,2`
	COMMENT	`The factor 28 in the Lehmer paper has been corrected to 14.` `Equals sum_{n=1..infinity} (-1)^n*n^3/binomial(2n,n).`
	LINKS	`D. H. Lehmer, Interesting series involving the Central Binomial Coefficient, Am. Math. Monthly 92, no 7 (1985) 449-457.`
	FORMULA	`Equals 2(14A002163*A002390+5)/625 .`
	EXAMPLE	`0.064205801387968452355..`
	MAPLE	`2/625(14sqrt(5)*log((1+sqrt(5))/2)+5) ;`
	CROSSREFS	`Cf. A145434, A145433.` `Sequence in context: A132870 A117254 A021613 this_sequence A073449 A134300 A114062` `Adjacent sequences: A157698 A157699 A157700 this_sequence A157702 A157703 A157704`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2009`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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