%I A084813
%S A084813 1,9,26,84,272,887,2895,9454,30874,100834,329323,1075573,3512840,
%T A084813 11472997,37471011,122380987
%N A084813 Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>
               a(n) and z=I.
%C A084813 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.
%F A084813 Limit a(n+1)/a(n) --> 3.266017... - Paul D. Hanna (pauldhanna(AT)juno.com), 
               Jun 16 2003
%o A084813 (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 A084813 Cf. A084812, A084814-A084818.
%Y A084813 Sequence in context: A048468 A048771 A055849 this_sequence A056409 A056399 
               A135864
%Y A084813 Adjacent sequences: A084810 A084811 A084812 this_sequence A084814 A084815 
               A084816
%K A084813 nonn
%O A084813 1,2
%A A084813 Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003
%E A084813 More terms from Paul D. Hanna (pauldhanna(AT)juno.com), Jun 16 2003