A175379 - OEIS

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A175379

Decimal expansion of Gamma(1/6).

5, 5, 6, 6, 3, 1, 6, 0, 0, 1, 7, 8, 0, 2, 3, 5, 2, 0, 4, 2, 5, 0, 0, 9, 6, 8, 9, 5, 2, 0, 7, 7, 2, 6, 1, 1, 1, 3, 9, 8, 7, 9, 9, 1, 1, 4, 8, 7, 2, 8, 5, 3, 4, 6, 1, 6, 1, 6, 7, 4, 4, 6, 2, 6, 3, 2, 2, 9, 0, 7, 5, 0, 2, 8, 1, 7, 8, 0, 2, 3, 0, 5, 5, 0, 3, 3, 8, 9, 6, 5, 3, 6, 2, 1, 0, 2, 1, 7, 5, 4, 6, 5, 9, 8, 1 (list; constant; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`A175379A073005A002161A073006A203145 = 4sqrt(Pi^5/3), which is the case n=6 of product(Gamma(i/n), i=1..n-1) = sqrt((2Pi)^(n-1)/n). [Bruno Berselli, Dec 18 2012]`
	LINKS	`Table of n, a(n) for n=1..105.` `R. Vidunas, Expressions for values of the Gamma function, arxiv:math/0403510.` `Wikipedia, Particular values of the Gamma function: General rational arguments`
	FORMULA	`Equals 2Pi/A203145 = A002194 A073005^2 / (A002161 * A002580) = A019692 / 1.12878703..`
	EXAMPLE	`Equals 5.56631600178023...`
	MAPLE	`evalf(GAMMA(1/6)) ;`
	MATHEMATICA	`RealDigits[Gamma[1/6], 10, 110][[1]] (* Bruno Berselli, Dec 13 2012 *)`
	CROSSREFS	`Cf. decimal expansions of Gamma(1/k): A002161 (k=2), A073005 (k=3), A068466 (k=4), A175380 (k=5), A220086 (k=7), A203142 (k=8), A203140 (k=12), A203139 (k=16), A203138 (k=24), A203137 (k=48).` `Cf. A002161, A073005, A073006, A203145.` `Sequence in context: A161981 A091284 A046604 * A106746 A152481 A157276` `Adjacent sequences: A175376 A175377 A175378 * A175380 A175381 A175382`
	KEYWORD	`cons,nonn`
	AUTHOR	`R. J. Mathar, Apr 24 2010`
	STATUS	`approved`

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Last modified May 25 02:03 EDT 2013. Contains 225634 sequences.