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A084815 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/4. 3
1, 15, 57, 226, 896, 3556, 14114 (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: A336251 A158482 A184223 * A240152 A261419 A183942
KEYWORD
nonn,more
AUTHOR
Paul D. Hanna, Jun 04 2003
STATUS
approved

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Last modified June 12 19:52 EDT 2024. Contains 373360 sequences. (Running on oeis4.)