A084810 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=1/2+I*sqrt(3).

1, 3, 5, 6, 8, 10, 13, 17, 21, 25, 31, 36, 43, 49, 57, 65, 73, 82, 92, 102, 113, 124, 136, 148, 161, 175, 189, 203, 218, 234, 250, 267, 284, 302, 320, 339, 359, 379, 399, 420, 442, 464, 487, 510, 534, 559, 584, 609, 635, 662, 689, 717, 745, 774, 804, 833, 864

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..57.

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. A084799-A084809.

Sequence in context: A187977 A120243 A304435 * A364731 A268896 A014254

Adjacent sequences: A084807 A084808 A084809 * A084811 A084812 A084813

Keyword

nonn

Author

Paul D. Hanna, Jun 04 2003

Status

approved