A086723 Decimal expansion of 1/(g(1)+g(2)-g(4)-g(5)), where g(k) = sum(1/(6*m+k)^2,m=0..infinity).

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

Offset

0,1

References

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

Links

Table of n, a(n) for n=0..98.

Example

.85327608831408080...

Mathematica

g[k_] := PolyGamma[1, k/6]/36; First[ RealDigits[1/(g[1] + g[2] - g[4] - g[5]), 10, 99]] (* Jean-François Alcover, Feb 12 2013 *)

Crossrefs

Cf. A086722-A086731.

Sequence in context: A275306 A176705 A140133 * A011406 A201488 A200141

Adjacent sequences: A086720 A086721 A086722 * A086724 A086725 A086726

Keyword

nonn,cons

Author

N. J. A. Sloane, Jul 31 2003

Status

approved