A304658 Decimal expansion of (1/6)*(3*gamma(0)^2 + Pi^2)*(gamma(0)^2 - gamma(1)) where gamma(n) are the generalized Stieltjes constants.

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

Offset

0,1

Comments

Consider the Laurent expansion of Gamma(s)Zeta(s) = (s-1)^(-1) + Sum_{n>=0} c(n) (s-1)^n. c(0) is Euler's gamma and -c(1) is this constant.

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Tom M. Apostol, Formulas for higher derivatives of the Riemann zeta function, Mathematics of Computation 44 (1985), p. 223-232.

Example

Equals 0.7354670626012241459330726330964847737743769706863880...

Mathematica

RealDigits[(1/6)*(3*EulerGamma^2 + Pi^2)*(EulerGamma^2 - StieltjesGamma[1]), 10, 100][[1]] (* modified by G. C. Greubel, Sep 07 2018 *)

Crossrefs

Cf. A001620.

Sequence in context: A021140 A171036 A351729 * A253298 A155987 A200279

Adjacent sequences: A304655 A304656 A304657 * A304659 A304660 A304661

Keyword

nonn,cons

Author

Peter Luschny, May 16 2018

Status

approved