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A072564 Numbers n such that the absolute values of the real and imaginary part of zeta(1/2+n*I) are both < 1. 0
4, 5, 6, 15, 22, 31, 38, 41, 57, 60, 70, 76, 78, 83, 85, 88, 95, 99, 104, 106, 119, 123, 124, 130, 134, 140, 158, 175, 177, 186, 197, 203, 205, 208, 212, 214, 221, 238, 240, 243, 250, 259, 260, 267, 270, 277, 279, 285, 287, 292, 295, 300, 302, 303, 305, 313 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..56.

FORMULA

Conjecture : lim n -> infinity a(n)/n = C exists 5<C<6

EXAMPLE

zeta(1/2+15*I) = (0.1471...) + (0.7047...)*I; 0.1471... <1 and 0.7047..<1 hence 15 is in the sequence.

CROSSREFS

Sequence in context: A191208 A242077 A050162 * A224678 A049899 A217464

Adjacent sequences:  A072561 A072562 A072563 * A072565 A072566 A072567

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Aug 06 2002

STATUS

approved

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Last modified February 28 23:19 EST 2020. Contains 332353 sequences. (Running on oeis4.)