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A084808 Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=1/2+I*sqrt(2). 2
1, 4, 6, 8, 10, 13, 17, 21, 25, 31, 36, 43, 50, 57, 65, 73, 82, 92, 102, 113, 124, 136, 148, 161, 174, 188, 203, 218, 233, 249, 266, 283, 301, 319, 338, 358, 377, 398, 419, 440, 462, 485, 508, 532, 556, 581, 606, 632, 659, 686, 713, 741, 770, 799, 828, 859, 889 (list; graph; refs; listen; history; text; 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.

LINKS

Table of n, a(n) for n=1..57.

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. A084799-A084807, A084809-A084810.

Sequence in context: A287106 A087684 A182091 * A310660 A031020 A087270

Adjacent sequences:  A084805 A084806 A084807 * A084809 A084810 A084811

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 04 2003

STATUS

approved

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Last modified June 19 16:01 EDT 2021. Contains 345144 sequences. (Running on oeis4.)