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Search: id:A084589
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| A084589 |
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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... |
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+0
7
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| 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; 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, A084590-A084593.
Sequence in context: A015845 A030702 A033087 this_sequence A165306 A032986 A032977
Adjacent sequences: A084586 A084587 A084588 this_sequence A084590 A084591 A084592
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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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