login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 A272877

Adjacent sequences:  A220607 A220608 A220609 * A220611 A220612 A220613

KEYWORD

nonn,cons

AUTHOR

Bruno Berselli, Dec 25 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 10 00:24 EST 2016. Contains 278993 sequences.