A084818 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(3).

1, 10, 32, 102, 328, 1060, 3434, 11130

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..8.

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-A084817.

Sequence in context: A198646 A356277 A052210 * A264286 A120969 A265374

Adjacent sequences: A084815 A084816 A084817 * A084819 A084820 A084821

Keyword

more,nonn

Author

Paul D. Hanna, Jun 04 2003

Status

approved