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 A084589 Least positive integers, all distinct, that satisfy Sum_{n>0} 1/a(n)^z = 0, where z is the second nontrivial zero of the Riemann zeta function: z = (1/2 + i*y) with y=21.022039638771554992628... 10
 1, 2, 3, 4, 5, 6, 7, 8, 12, 18, 49, 55, 62, 94, 105, 118, 134, 153, 173, 194, 217, 243, 272, 304, 339, 377, 418, 462, 509, 559, 612, 668, 727, 789, 854, 922, 993, 1067, 1144, 1224, 1307, 1393, 1482, 1574, 1669, 1767, 1868, 1972, 2080, 2190, 2304, 2421, 2541, 2664 (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 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 Cf. A084588, A084590, A084591, A084592, A084593. Sequence in context: A030702 A305926 A033087 * A271831 A180628 A165306 Adjacent sequences: A084586 A084587 A084588 * A084590 A084591 A084592 KEYWORD nonn AUTHOR Paul D. Hanna, Jun 04 2003 STATUS approved

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Last modified April 14 16:48 EDT 2024. Contains 371666 sequences. (Running on oeis4.)