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A084814 Least integers that satisfy Sum_{n>=1} 1/a(n)^z = 0, where a(1)=1, a(n+1) > a(n) and z = i*Pi/2. 3
1, 4, 8, 17, 37, 82, 185, 419, 952, 2166, 4932, 11234, 25593 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Sequence satisfies Sum_{n>=1} 1/a(n)^z = 0 by requiring that the modulus of the successive partial sums are monotonically decreasing in magnitude for the given z.
LINKS
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
Sequence in context: A307545 A115618 A019479 * A098125 A335274 A296399
KEYWORD
nonn,more
AUTHOR
Paul D. Hanna, Jun 04 2003
STATUS
approved

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Last modified May 20 23:09 EDT 2024. Contains 372720 sequences. (Running on oeis4.)