

A084809


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


3



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
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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. A084799A084808, 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



