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%I #7 Mar 30 2012 18:39:17
%S 1,1,13,43,347,1013,36331,20431,973993,5386001,15273079,104604613,
%T 1495109359,1357580423,113225690813,2150797323119,6214827398881,
%U 1922198200679,206285491870477,64286037044903,7668497434066577
%N Numerator of n*sum(k=1,(-1)^(k+1)/(n+k)).
%F limit n->infinity n*sum(k=1, (-1)^(k+1)/(n+k)) = 1/4
%Y Cf. A082690 (denominators).
%K frac,nonn
%O 1,3
%A _Benoit Cloitre_, Apr 12 2003
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