id:A073010 - OEIS Search Results

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Decimal expansion of sum(1/(n*binomial(2*n,n)), n=1..infinity).

+0
3

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

	OFFSET	`0,1`
	COMMENT	`This appears to be pi/sqrt(27). See A111510. - Marco Matosic (marcomatosic(AT)hotmail.com), Feb 27 2008` `This is Pisqrt(3)/9 = A019676A002194, see eq (12) in D. H. Lehmer, Am. Math. Monthly 92 (1985) 449. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2009]`
	LINKS	`Simon Plouffe, Sum(1/(nbinomial(2n,n)), n=1..infinity)` `Eric Weisstein's World of Mathematics, Central Binomial Coefficient`
	EXAMPLE	`0.60459978807807261686469275254738524409468...`
	MATHEMATICA	`RealDigits[ N [Sum[1/(n*Binomial[2n, n]), {n, 1, Infinity}], 110]] [[1]]`
	CROSSREFS	`Sequence in context: A019766 A094830 A021947 this_sequence A100120 A132709 A113024` `Adjacent sequences: A073007 A073008 A073009 this_sequence A073011 A073012 A073013`
	KEYWORD	`cons,nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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