A145422 Decimal expansion of sum_{n=0..infinity} (-1)^n/(2^(3n)*(3n+1)).

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

Offset

0,1

References

Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.17

Links

Table of n, a(n) for n=0..92.

Formula

(A093602+A002391)/3 .

Example

0.97080388430077584732977...

Maple

evalf((Pi/sqrt(3)+log(3))/3) ;

Mathematica

RealDigits[Hypergeometric2F1[1/3, 1, 4/3, -(1/8)], 10, 120][[1]] (* Harvey P. Dale, May 11 2017 *)

Crossrefs

Sequence in context: A019885 A199078 A194098 * A341332 A021107 A155691

Adjacent sequences: A145419 A145420 A145421 * A145423 A145424 A145425

Keyword

cons,easy,nonn

Author

R. J. Mathar, Feb 08 2009

Status

approved