A145425 Decimal expansion of Sum_{k>=1} 1/(k*(36k^2-1)).

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

Offset: 0

Author

R. J. Mathar, Feb 08 2009

Keywords

• cons
• easy
• nonn

Examples

			0.03421279412205515...
		

References

• Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, 1996, 4.1.27.

Links

• I. S. Gradsteyn and I. M. Ryzhik, Table of integrals, series and products (6th ed.), 2000, (eq. 0.236.3).

Crossrefs

Cf. A016627, A156057.

Programs

Maple

2*ln(2)-3+3/2*ln(3) ;

Mathematica

RealDigits[3*Log[3]/2 + 2*Log[2] - 3, 10, 120, -1][[1]] (* Amiram Eldar, Aug 23 2024 *)

Formula

Equals A016627+3*(A156057-1).

Equals (3/2) * log(3) + 2*log(2) - 3. - Sean A. Irvine, Apr 05 2025