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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

%I #8 May 21 2021 15:48:36

%S 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,

%T 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,

%U 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

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

%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 1.2799141324711212...

%t 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 *)

%Y Cf. A086722-A086731.

%K nonn,cons

%O 1,2

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

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Last modified August 21 21:39 EDT 2024. Contains 375353 sequences. (Running on oeis4.)