A145424 Decimal expansion of sum_{n=1..infinity} 1/(n*(25n^2-1)).

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

Offset

0,2

References

Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.26

Links

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

Example

0.049808566747630516862...

Maple

evalf(5*log(5)/4-5/2+sqrt(5)/2*log((1+sqrt(5))/2)) ;

Crossrefs

Sequence in context: A205297 A159643 A200398 * A200394 A249272 A280630

Adjacent sequences: A145421 A145422 A145423 * A145425 A145426 A145427

Keyword

cons,easy,nonn

Author

R. J. Mathar, Feb 08 2009

Status

approved