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 A084593 Least positive integers, all distinct, that satisfy Sum_{n>0} 1/a(n)^z = 0, where z is the 100th 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; text; 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. 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, A084589, A084590, A084591, A084592. Sequence in context: A058599 A238662 A059093 * A275843 A161866 A102968 Adjacent sequences: A084590 A084591 A084592 * A084594 A084595 A084596 KEYWORD nonn AUTHOR Paul D. Hanna, Jun 04 2003 STATUS approved

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Last modified March 28 08:28 EDT 2023. Contains 361585 sequences. (Running on oeis4.)