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%I #4 Mar 31 2012 10:25:40
%S 0,1,2,4,6,10,15,23,36,55,83,126,190,287,432,650,978,1470,2207,3315,
%T 4976,7469,11208,16817,25232,37855,56791,85196,127804,191717,287588,
%U 431397,647111
%N Nearest integer to the n-th root of e leading to a generalized closed form for Zeta(s).
%C Sum 1/(((N+1)/2)^s) = product 1/(1-(((P+1)/2)^s)) = 1+(1/(sum(1/(((P+1)/2)^s)))) = e^(sum(1/(((P+1)/2)^s))) ~ Pi^(sum(1/(((P+1)/2)^s))). It is noteworthy that many terms are very near to a triangular number.
%K more,nonn
%O 0,3
%A _Marco Matosic_, Jul 18 2005