OFFSET
1,1
COMMENTS
Here's the font that's used; a single empty column is used between adjacent digits. The same digit design was selected 39 years ago by Jonathan Vos Post.
ooo.o.ooo.ooo.o.o.ooo.ooo.ooo.ooo.ooo
o.o.o...o...o.o.o.o...o.....o.o.o.o.o
o.o.o.ooo.ooo.ooo.ooo.ooo...o.ooo.ooo
o.o.o.o.....o...o...o.o.o...o.o.o...o
ooo.o.ooo.ooo...o.ooo.ooo...o.ooo.ooo
The sequence is infinite; e.g., any number whose decimal expansion begins and ends with 14 and contains only the digits 1, 4 and 8 dies in 9 generations. It has density zero, because any number containing the digit string 14405930 emits a lightweight spaceship which can't be stopped by whatever the rest of the number produces.
LINKS
Eric Angelini and Dean Hickerson, Feb 22 2007, Table of n, a(n) for n = 1..111
Eric Angelini, Une suite pour la Vie
E. Angelini, Une suite pour la Vie [Cached, with permission]
Paul Callahan, Game of Life applet and description, The World of Math Online
Dean Hickerson, Digits in Life.
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Dean Hickerson, Feb 22 2007
EXTENSIONS
Edited by Dean Hickerson, Mar 02 2007
STATUS
approved