A203140 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A203140

Decimal expansion of Gamma(1/12).

1, 1, 4, 9, 9, 4, 2, 8, 1, 8, 6, 0, 7, 3, 9, 9, 0, 6, 6, 3, 8, 8, 5, 6, 0, 9, 8, 5, 2, 4, 3, 9, 2, 0, 0, 9, 7, 9, 8, 7, 6, 6, 1, 5, 2, 0, 1, 3, 6, 5, 2, 9, 7, 2, 1, 9, 5, 3, 8, 5, 1, 7, 8, 3, 9, 3, 6, 4, 7, 2, 5, 3, 9, 9, 5, 6, 7, 6, 1, 1, 8, 3, 5, 3, 4, 3, 5, 9, 1, 9, 8, 5, 7, 2, 2, 9, 8, 3, 8

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

2,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 2..5002

R. Vidunas, Expressions for values of the Gamma function, arxiv:math/0403510 [math.CA], 2004.

Index to sequences related to gamma function

FORMULA

Equals 3^(3/8) * sqrt(1 + sqrt(3)) * Gamma(1/3) * Gamma(1/4) / (2^(1/4) * sqrt(Pi)). - Vaclav Kotesovec, Apr 15 2024

EXAMPLE

11.499428186073990663885609852439200979876615201365297219538...

MATHEMATICA

RealDigits[Gamma[1/12], 10, 100][[1]] (* G. C. Greubel, Jan 15 2017 *)

RealDigits[3^(3/8) * Sqrt[1 + Sqrt[3]] * Gamma[1/3] * Gamma[1/4] / (2^(1/4) * Sqrt[Pi]), 10, 120][[1]] (* Vaclav Kotesovec, Apr 15 2024 *)

PROG

(PARI) default(realprecision, 100); gamma(1/12) \\ G. C. Greubel, Jan 15 2017

(Magma) SetDefaultRealField(RealField(100)); Gamma(1/12); // G. C. Greubel, Mar 10 2018

CROSSREFS

Sequence in context: A196516 A021671 A359187 * A011512 A200642 A209674

Adjacent sequences: A203137 A203138 A203139 * A203141 A203142 A203143

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane, Dec 29 2011

STATUS

approved