A257955 Decimal expansion of Gamma(1/Pi).

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

Offset: 1

Author

Iaroslav V. Blagouchine, May 14 2015

Keywords

• nonn
• cons

Comments

The reference gives an interesting product representation in terms of rational multiple of 1/Pi for Gamma(1/Pi).

Examples

			2.8112975146708616421227908037104816935281655223291765...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• Iaroslav V. Blagouchine, Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to 1/Pi, Mathematics of Computation (AMS), 2015.

Crossrefs

Cf. A257957, A257958, A257959, A002161, A073005, A068466, A175380, A175379, A220086, A203142, A256190, A256191, A256192, A203140, A203139, A203138, A203137.

Programs

Maple

evalf(GAMMA(1/Pi), 117);

Mathematica

RealDigits[Gamma[1/Pi], 10, 117][[1]]

PARI

default(realprecision, 117); gamma(1/Pi)