A373562 Decimal expansion of Sum_{k>=0} (-1)^(k+1)*( log(2k+1)/(2k+1) + log(2k+2)/(2k+2) ).

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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Formula

Equals A078127 - A366349.

Example

0.03260926170902720290811243602...

Mathematica

RealDigits[Pi*(EulerGamma + 2*Log[2] + 3*Log[Pi] - 4*Log[Gamma[1/4]])/4 - (3 Log[2]^2 - 2 EulerGamma Log[2])/4, 10, 120, -1][[1]] (* Amiram Eldar, Jun 10 2024 *)

Crossrefs

Cf. A091812, A078127, A366349.

Sequence in context: A005266 A005267 A209269 * A244823 A286157 A016460

Adjacent sequences: A373559 A373560 A373561 * A373563 A373564 A373565

Keyword

nonn,cons

Author

R. J. Mathar, Jun 10 2024

Status

approved