A084814 Least integers that satisfy Sum_{n>=1} 1/a(n)^z = 0, where a(1)=1, a(n+1) > a(n) and z = i*Pi/2.

1, 4, 8, 17, 37, 82, 185, 419, 952, 2166, 4932, 11234, 25593

Offset

1,2

Comments

Sequence satisfies Sum_{n>=1} 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..13.

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-A084813, A084815-A084818.

Sequence in context: A307545 A115618 A019479 * A098125 A335274 A296399

Adjacent sequences: A084811 A084812 A084813 * A084815 A084816 A084817

Keyword

nonn,more

Author

Paul D. Hanna, Jun 04 2003

Status

approved