A371983 - OEIS

A371983

Decimal expansion of Gamma(1/30).

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

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OFFSET

2,1

LINKS

Table of n, a(n) for n=2..106.

Albert Nijenhuis, Small Gamma Products with Simple Values, arXiv:0907.1689v1 [math.CA], 2009.

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^(9/20) * sqrt(5 + sqrt(5)) * sqrt(sqrt(15) + sqrt(5 + 2*sqrt(5))) * Gamma(1/3) * Gamma(1/5) / (sqrt(Pi) * 2^(16/15) * 5^(1/6)).

Equals 2^(11/60) * 3^(9/20) * 5^(1/3) * Gamma(1/5) * Gamma(1/3) / ((10 + sqrt(5) - sqrt(75 + 30*sqrt(5)))^(1/4) * sqrt(Pi)).

Equals 8*Pi^2 / (Gamma(17/30) * Gamma(19/30) * Gamma(23/30)).

Equals Gamma(7/30) * Gamma(11/30) * Gamma(13/30) / (2*Pi*A019815).

EXAMPLE

29.4547797456996940196962082886383457347018736055729711046565415567498...

MAPLE

evalf(GAMMA(1/30), 130); # Alois P. Heinz, Apr 15 2024

MATHEMATICA

RealDigits[Gamma[1/30], 10, 120][[1]]

RealDigits[2^(11/60) * 3^(9/20) * 5^(1/3) * Gamma[1/5] * Gamma[1/3] / ((10 + Sqrt[5] - Sqrt[75 + 30*Sqrt[5]])^(1/4) * Sqrt[Pi]), 10, 120][[1]]

CROSSREFS

Cf. A073005, A175380, A256191, A203140, A371881.

Sequence in context: A016642 A070700 A372955 * A248682 A222239 A365936

Adjacent sequences: A371980 A371981 A371982 * A371984 A371985 A371986

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Apr 15 2024

STATUS

approved