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%I #4 Mar 30 2012 18:36:38
%S 1,3,5,6,8,10,13,17,21,25,31,36,43,49,57,65,73,82,92,102,113,124,136,
%T 148,161,175,189,203,218,234,250,267,284,302,320,339,359,379,399,420,
%U 442,464,487,510,534,559,584,609,635,662,689,717,745,774,804,833,864
%N Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=1/2+I*sqrt(3).
%C Sequence satisfies sum(n>0,1/a(n)^z)=0 by requiring that the modulus of the successive partial sums are monotonically decreasing in magnitude for the given z.
%o (PARI) S=0; w=1; a=0; for(n=1,100,b=a+1; while(abs(S+exp(-z*log(b)))>w,b++); S=S+exp(-z*log(b)); w=abs(S); a=b; print1(b,","))
%Y Cf. A084799-A084809.
%K nonn
%O 1,2
%A _Paul D. Hanna_, Jun 04 2003
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