Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A072564
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A072564 Numbers n such that the absolute values of the real and imaginary part of zeta(1/2+n*I) are both < 1. +0
1
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; listen)
OFFSET

1,1

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: A139061 A029645 A050162 this_sequence A049899 A010753 A047195

Adjacent sequences: A072561 A072562 A072563 this_sequence A072565 A072566 A072567

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 06 2002

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


AT&T Labs Research