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Search: id:A084810
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| A084810 |
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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=1/2+I*sqrt(3). |
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12
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| 1, 3, 5, 6, 8, 10, 13, 17, 21, 25, 31, 36, 43, 49, 57, 65, 73, 82, 92, 102, 113, 124, 136, 148, 161, 175, 189, 203, 218, 234, 250, 267, 284, 302, 320, 339, 359, 379, 399, 420, 442, 464, 487, 510, 534, 559, 584, 609, 635, 662, 689, 717, 745, 774, 804, 833, 864
(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 for the given z.
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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. A084799-A084809.
Sequence in context: A022838 A047329 A120243 this_sequence A014254 A131422 A087720
Adjacent sequences: A084807 A084808 A084809 this_sequence A084811 A084812 A084813
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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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