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Search: id:A084815
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| A084815 |
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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/4. |
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3
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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-A084814, A084816-A084818.
Sequence in context: A140379 A020222 A158482 this_sequence A012691 A020187 A022287
Adjacent sequences: A084812 A084813 A084814 this_sequence A084816 A084817 A084818
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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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