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A145424 Decimal expansion of sum_{n=1..infinity} 1/(n*(25n^2-1)). 0

%I #2 Mar 30 2012 17:39:44

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

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

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

%N Decimal expansion of sum_{n=1..infinity} 1/(n*(25n^2-1)).

%D Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.26

%e 0.049808566747630516862...

%p evalf(5*log(5)/4-5/2+sqrt(5)/2*log((1+sqrt(5))/2)) ;

%K cons,easy,nonn

%O 0,2

%A _R. J. Mathar_, Feb 08 2009

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