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

%I #8 Feb 12 2013 08:30:49

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

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

%U 3,9,2,5,3,4,8,4,7,4,5,9,6,5,7,6,4,5,6,3,5,1,9,7,8,4,4,3,8,6,6

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

%F Equals A214550 divided by 4. - _R. J. Mathar_, Sep 15 2012

%e .2804332534840859467...

%t RealDigits[ PolyGamma[1, 1/3]/36, 10, 99] // First (* _Jean-François Alcover_, Feb 12 2013 *)

%Y Cf. A086722-A086731.

%K nonn,cons

%O 0,1

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