OFFSET
1,8
COMMENTS
See A293681 for the corresponding Y-coordinates.
The following diagram depicts the angle t cited in the name:
. P(n)* .
. | t .
. | .
. | .
. |.
. P(n-1)*
. /
. /
. P(n-2)*
This sequence has building features in common with A293539.
The study of the first thousand dots shows an alternation of apparently chaotic phases and regular phases where a pattern repeats itself; unlike Langton's ant, this repetitive behavior doesn't last long. It is unknown if eventually a periodic pattern repeating itself infinitely emerges.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Representation of P(n) for n=1..18698, with patterns repeated at least three times colored in red/green/blue
Rémy Sigrist, PARI program for A293680
Wikipedia, Langton's ant
EXAMPLE
See representation of first points in Links section.
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
sign,look
AUTHOR
Rémy Sigrist, Oct 14 2017
STATUS
approved