A259494 Decimal expansion of Omega, a constant related to an explicit form of the triple Gamma function Gamma_3 (negated).

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

Offset

0,1

References

H. M. Srivastava, Choi Junesang, Series Associated With the Zeta and Related Functions, Springer Science & Business Media (2001) p. 41.

Links

Table of n, a(n) for n=0..104.

Formula

Omega= (1/12)*(3/2 - EulerGamma - 3*log(2*Pi) + Pi^2/12) + (1/2)*Sum_{n>=1} (-1)^n*zeta(n+2)/((n+3)*(n+4)) = 3/8-log(2*Pi)-log(Glaisher).

Example

-0.333223743636120633437417861778922796028068450487426823408431409932...

Mathematica

Omega = 3/8 - (1/4)*Log[2*Pi] - Log[Glaisher]; RealDigits[Omega, 10, 105] // First

Crossrefs

Cf. A074962.

Sequence in context: A242465 A075074 A321218 * A356525 A226895 A306996

Adjacent sequences: A259491 A259492 A259493 * A259495 A259496 A259497

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 29 2015

Status

approved