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A084818 Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I/log(3). +0
8
1, 10, 32, 102, 328, 1060, 3434, 11130 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

PROGRAM

(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, ", "))

CROSSREFS

Cf. A084812-A084817.

Sequence in context: A155192 A024933 A052210 this_sequence A120969 A137723 A067878

Adjacent sequences: A084815 A084816 A084817 this_sequence A084819 A084820 A084821

KEYWORD

more,nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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