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.

1, 9, 26, 84, 272, 887, 2895, 9454, 30874, 100834, 329323, 1075573, 3512840, 11472997, 37471011, 122380987

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..16.

Formula

Limit a(n+1)/a(n) --> 3.266017... - Paul D. Hanna, Jun 16 2003

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, A084814-A084818.

Sequence in context: A048771 A055849 A235163 * A322764 A325585 A056409

Adjacent sequences: A084810 A084811 A084812 * A084814 A084815 A084816

Keyword

nonn

Author

Paul D. Hanna, Jun 04 2003

Extensions

More terms from Paul D. Hanna, Jun 16 2003

Status

approved