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A084815 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. 2
1, 15, 57, 226, 896, 3556, 14114 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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.

PROG

(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-A084814, A084816-A084818.

Sequence in context: A020222 A158482 A184223 * A183942 A012691 A020187

Adjacent sequences:  A084812 A084813 A084814 * A084816 A084817 A084818

KEYWORD

more,nonn

AUTHOR

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

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Last modified February 15 07:42 EST 2012. Contains 205717 sequences.