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).

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

Offset

1,2

Comments

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.

Links

Table of n, a(n) for n=1..10.

Prog

(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, ", "))

Crossrefs

Cf. A084812-A084816, A084818.

Sequence in context: A106060 A237642 A059508 * A183382 A100965 A001632

Adjacent sequences: A084814 A084815 A084816 * A084818 A084819 A084820

Keyword

more,nonn

Author

Paul D. Hanna, Jun 04 2003

Status

approved