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Decimal expansion of sum(1/(6*m+1)^2,m=0..infinity).
2

%I #5 Mar 30 2012 16:49:46

%S 1,0,3,6,6,2,5,3,6,3,6,7,6,3,7,9,4,1,4,3,6,6,1,3,0,5,3,2,3,9,7,0,6,6,

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

%U 7,3,5,2,2,2,0,8,3,2,8,3,4,4,2,5,2,5,8,6,4,4,8,6,4,3,3,8,4,0,6

%N Decimal expansion of sum(1/(6*m+1)^2,m=0..infinity).

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

%e 1.0366253636763794...

%t RealDigits[N[PolyGamma[1, 1/6]/36, 100]][[1]]

%Y Cf. A086722-A086731.

%K nonn,cons

%O 1,3

%A _N. J. A. Sloane_, Jul 31 2003