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A369872
Decimal expansion of -2*gamma + 2*log(2*Pi), where gamma=A001620 is the Euler-Mascheroni constant.
0
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.
FORMULA
Equals lim_{s->1} (zeta(s)^2/zeta(2*s - 1) + zeta(s)/zeta(s - 1)).
EXAMPLE
2.5213228030156252459082947654576656973612712226712864536570716921...
MATHEMATICA
RealDigits[N[-2*EulerGamma + 2*Log[2*Pi], 87]][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Mats Granvik, Feb 03 2024
STATUS
approved