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A220610 Decimal expansion of sqrt(2*Pi^3). 1
7, 8, 7, 4, 8, 0, 4, 9, 7, 2, 8, 6, 1, 2, 0, 9, 8, 7, 2, 1, 4, 5, 3, 2, 2, 9, 9, 7, 2, 3, 3, 6, 0, 2, 2, 7, 1, 1, 5, 5, 8, 4, 2, 6, 9, 1, 3, 9, 9, 3, 6, 6, 9, 2, 9, 1, 2, 8, 6, 5, 3, 8, 6, 5, 2, 0, 3, 4, 5, 5, 3, 2, 6, 6, 0, 0, 8, 2, 7, 8, 0, 8, 8, 7, 9, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is the case n=4 of product(Gamma(i/n), i=1..n-1) = sqrt((2*Pi)^(n-1)/n).

Continued fraction expansion: 7, 1, 6, 1, 79, 4, 7, 1, 1, 1, 1, 1, 1, 4, 2, 3, 73, 1, 2, 1, 14, 3, 2, 1, 1, 2, 3, 1,...

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Wikipedia, Particular values of the Gamma function: Products

FORMULA

Equals A002193*A175476.

EXAMPLE

7.8748049728612098721453229972336022711558426913993669291...

MATHEMATICA

RealDigits[Sqrt[2 Pi^3], 10, 90][[1]]

PROG

(Maxima) fpprec:90; ev(bfloat(sqrt(2*%pi^3)));

CROSSREFS

Cf. numbers of the form sqrt((2*Pi)^(n-1)/n) - see the first comment: A002161 (n=2), A186706 (n=3).

Sequence in context: A055060 A010515 A021131 * A021931 A100264 A154192

Adjacent sequences:  A220607 A220608 A220609 * A220611 A220612 A220613

KEYWORD

nonn,cons

AUTHOR

Bruno Berselli, Dec 25 2012

STATUS

approved

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Last modified July 28 07:20 EDT 2014. Contains 244987 sequences.