

A084588


Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z is the first nontrivial zero of the Riemann Zeta function: z=(1/2 + i*y) with y=14.13472514173469379045...


7



1, 2, 3, 4, 5, 6, 11, 13, 16, 20, 25, 30, 36, 44, 54, 65, 78, 93, 110, 130, 153, 178, 205, 234, 266, 300, 337, 376, 418, 462, 509, 559, 611, 666, 723, 783, 845, 910, 978, 1048, 1122, 1198, 1277, 1359, 1444, 1532, 1623, 1717, 1814, 1914, 2017, 2123, 2232, 2344
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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 to zero for the given z.
Sequences A084588  A084593 are related to zeros of the Riemann zeta function. The least integers that satisfy sum(n>0, 1/a(n)^z ) = 0, where a(1)=1, a(n+1)>a(n) and z is a nontrivial zero of the Riemann zeta function.


LINKS

Table of n, a(n) for n=1..54.
Andrew M. Odlyzko, The first 100 (nontrivial) zeros of the Riemann Zeta function.
Index entries for zeta function.


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

Sequence in context: A108379 A082657 A108378 * A088411 A075073 A157420
Adjacent sequences: A084585 A084586 A084587 * A084589 A084590 A084591


KEYWORD

nonn


AUTHOR

Paul D. Hanna, Jun 03 2003


STATUS

approved



