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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).
2
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.
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
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Jul 31 2003
STATUS
approved