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 A084592 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z is the fifth nontrivial zero of the Riemann Zeta function: z=(1/2 + i*y) with y=32.935061587739189690662368964... 2
 1, 2, 4, 5, 20, 58, 64, 84, 91, 99, 108, 118, 129, 142, 156, 170, 185, 201, 219, 238, 257, 277, 299, 323, 348, 374, 402, 432, 463, 495, 529, 566, 606, 649, 695, 744, 796, 851, 909, 969, 1031, 1095, 1162, 1232, 1305, 1381, 1459, 1540, 1623, 1709, 1797, 1888 (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-A084591, A084593. Sequence in context: A056440 A101843 A192117 * A101587 A200906 A036986 Adjacent sequences:  A084589 A084590 A084591 * A084593 A084594 A084595 KEYWORD nonn AUTHOR Paul D. Hanna, Jun 04 2003 STATUS approved

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