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Search: id:A084592
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| A084592 |
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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... |
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+0
3
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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Andrew M. Odlyzko, The first 100 (nontrivial) zeros of the Riemann Zeta function.
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PROGRAM
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(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, ", "))
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CROSSREFS
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Cf. A084588-A084591, A084593.
Sequence in context: A065063 A056440 A101843 this_sequence A101587 A036986 A036984
Adjacent sequences: A084589 A084590 A084591 this_sequence A084593 A084594 A084595
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003
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