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Search: id:A084814
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| A084814 |
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Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I*Pi/2. |
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+0
3
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| 1, 4, 8, 17, 37, 82, 185, 419, 952, 2166, 4932, 11234, 25593
(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. A084812-A084813, A084815-A084818.
Sequence in context: A005697 A115618 A019479 this_sequence A098125 A119471 A075558
Adjacent sequences: A084811 A084812 A084813 this_sequence A084815 A084816 A084817
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KEYWORD
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more,nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003
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