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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(4+I*3)/5.
2

%I #4 Mar 30 2012 18:36:38

%S 1,16,18,21,25,28,31,34,38,41,44,48,52,55,59,63,67,71,75,79,83,87,91,

%T 95,99,104,108,112,116,121,125,130,134,139,143,148,152,157,162,166,

%U 171,176,180,185,190,195,200,205,209,214,219,224,229,234,239,244,249,255,260

%N Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(4+I*3)/5.

%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. A084589, A084799, A084801-A084810.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Jun 04 2003