A366349 Decimal expansion of the Sum_{k>=1} (-1)^(k+1)*log(2*k)/(2*k).

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

Offset

0,2

Comments

For Sum_{k>=1} (-1)^(k+1)*log(2*k+1)/(2*k+1) see A078127.

Links

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

Formula

Equals (3*(log(2))^2-2*gamma*log(2))/4, where gamma is Euler gamma constant A001620.

Example

0.16029205508788522645507732800087420061716546391...

Maple

(3*(log(2))^2-2*gamma*log(2))/4; evalf(%) ; # R. J. Mathar, Jun 10 2024

Mathematica

RealDigits[(3 Log[2]^2 - 2 EulerGamma Log[2])/4, 10, 106][[1]]

Prog

(PARI) sumalt(k=1, (-1)^(k+1)*log(2*k)/(2*k)) \\ Vaclav Kotesovec, Oct 08 2023

Crossrefs

Cf. A001620, A078127.

Sequence in context: A021628 A371923 A201331 * A075092 A152244 A283634

Adjacent sequences: A366346 A366347 A366348 * A366350 A366351 A366352

Keyword

nonn,cons

Author

Artur Jasinski, Oct 07 2023

Status

approved