A369872 Decimal expansion of -2*gamma + 2*log(2*Pi), where gamma=A001620 is the Euler-Mascheroni constant.

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

Offset

1,1

Comments

zeta(s)^2/zeta(2*s-1) is the Dirichlet generating function for A191898. zeta(s)/zeta(s-1) is the Dirichlet generating function for A023900.

Links

Table of n, a(n) for n=1..87.

Formula

Equals lim_{s->1} (zeta(s)^2/zeta(2*s - 1) + zeta(s)/zeta(s - 1)).

Equals 2*(A345208 + 1). - Amiram Eldar, Nov 01 2025

Example

2.5213228030156252459082947654576656973612712226712864536570716921...

Mathematica

RealDigits[N[-2*EulerGamma + 2*Log[2*Pi], 87]][[1]]

Prog

(PARI) 2*(log(2*Pi) - Euler) \\ Amiram Eldar, Nov 01 2025

Crossrefs

Cf. A001620, A061444, A191898, A023900, A344326, A345208.

Sequence in context: A061176 A180957 A124780 * A394907 A108437 A226029

Adjacent sequences: A369869 A369870 A369871 * A369873 A369874 A369875

Keyword

nonn,cons

Author

Mats Granvik, Feb 03 2024

Status

approved