A084817 - OEIS

A084817

Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I/log(2).

%I #5 Mar 30 2012 18:36:38

%S 1,5,11,29,80,222,624,1756,4949,13953

%N Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I/log(2).

%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. A084812-A084816, A084818.

%K more,nonn

%O 1,2

%A _Paul D. Hanna_, Jun 04 2003