A084809 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(1+I*sqrt(3))/2.

1, 8, 12, 16, 21, 27, 33, 41, 49, 58, 67, 78, 89, 102, 114, 128, 143, 158, 174, 191, 208, 227, 246, 266, 286, 308, 330, 353, 377, 402, 427, 454, 481, 508, 537, 566, 597, 627, 659, 692, 725, 759, 794, 829, 866, 903, 941, 980, 1019, 1060, 1101, 1143, 1185, 1229

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..54.

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-A084808, A084810.

Sequence in context: A160392 A242272 A078609 * A186407 A190037 A110558

Adjacent sequences: A084806 A084807 A084808 * A084810 A084811 A084812

Keyword

nonn

Author

_Paul D. Hanna_, Jun 04 2003

Status

approved