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Search: id:A084813
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| A084813 |
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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. |
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+0
3
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| 1, 9, 26, 84, 272, 887, 2895, 9454, 30874, 100834, 329323, 1075573, 3512840, 11472997, 37471011, 122380987
(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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FORMULA
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Limit a(n+1)/a(n) --> 3.266017... - Paul D. Hanna (pauldhanna(AT)juno.com), Jun 16 2003
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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, A084814-A084818.
Sequence in context: A048468 A048771 A055849 this_sequence A056409 A056399 A135864
Adjacent sequences: A084810 A084811 A084812 this_sequence A084814 A084815 A084816
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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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EXTENSIONS
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More terms from Paul D. Hanna (pauldhanna(AT)juno.com), Jun 16 2003
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