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A084593 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z is the 100-th nontrivial zero of the Riemann Zeta function: z=(1/2 + i*y) with y=236.5242296658162058024755... 6
1, 3, 5, 9, 12, 23, 28, 46, 86, 92, 101, 108, 125, 161, 177, 205, 257, 282, 318, 331, 344, 358, 363, 368, 373, 388, 426, 456, 475, 535, 542, 564, 587, 595, 619, 644, 670, 716, 745, 775, 806, 838, 849, 884, 920, 957, 995, 1008, 1049, 1091, 1135, 1181, 1228, 1243 (list; graph; refs; listen; history; internal format)
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.

LINKS

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

Cf. A084588-A084592.

Sequence in context: A046746 A058599 A059093 * A161866 A102968 A180341

Adjacent sequences:  A084590 A084591 A084592 * A084594 A084595 A084596

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.