A086725 Decimal expansion of 1/(g(1)-g(2)+g(4)-g(5)), where g(k) = Sum_{m>=0} 1/(6*m+k)^2.

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

Offset: 1

Author

N. J. A. Sloane, Jul 31 2003

Keywords

• nonn
• cons

Examples

			1.2799141324711212...
		

References

• L. Fejes Toth, Lagerungen in der Ebene, auf der Kugel und im Raum, 2nd. ed., Springer-Verlag, Berlin, Heidelberg 1972; see p. 213.

Crossrefs

Cf. A086722-A086731.

Programs

Mathematica

g[k_] := PolyGamma[1, k/6]/36; RealDigits[ 1/(g[1] - g[2] + g[4] - g[5]), 10, 99] // First (* Jean-François Alcover, Feb 13 2013 *)