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Decimal expansion of Sum_{n>=1} 1/(n*(36n^2-1)).
0

%I #6 Aug 23 2024 03:55:15

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

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

%U 8,6,8,3,7,6,7,3,0,2,8,8,1,5,2,2,1,5,0,2,8,6,2,1,3

%N Decimal expansion of Sum_{n>=1} 1/(n*(36n^2-1)).

%D Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, 1996, 4.1.27.

%F Equals A016627+3*(A156057-1).

%e 0.03421279412205515...

%p 2*ln(2)-3+3/2*ln(3) ;

%t RealDigits[3*Log[3]/2 + 2*Log[2] - 3, 10, 120, -1][[1]] (* _Amiram Eldar_, Aug 23 2024 *)

%Y Cf. A016627, A156057.

%K cons,easy,nonn

%O 0,2

%A _R. J. Mathar_, Feb 08 2009