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Search: id:A084816
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| A084816 |
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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*2. |
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3
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| 1, 3, 6, 13, 39, 131, 448, 1547, 5352, 18524, 64125, 221990, 768506, 2660499, 9210416, 31885663, 110385418, 382144818, 1322952481
(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) --> 3.4619139...
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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-A084815, A084817-A084818.
Sequence in context: A062466 A053564 A036781 this_sequence A055738 A053365 A101034
Adjacent sequences: A084813 A084814 A084815 this_sequence A084817 A084818 A084819
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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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