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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

Table of n, a(n) for n=1..7.

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: A336251 A158482 A184223 * A240152 A261419 A183942

Adjacent sequences:  A084812 A084813 A084814 * A084816 A084817 A084818

KEYWORD

nonn,more

AUTHOR

Paul D. Hanna, Jun 04 2003

STATUS

approved

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Last modified May 23 16:11 EDT 2022. Contains 353976 sequences. (Running on oeis4.)