OFFSET
0,1
COMMENTS
Each generation, a cell turns on if it has exactly three neighbors that are on. Cells never turn off.
This pattern grows indefinitely. No other connected 3-celled pattern does so.
LINKS
Eric M. Schmidt, Table of n, a(n) for n = 0..2500
LifeWiki, Life without death
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,1,-1). (Initial terms do not obey recurrence; see formula section.)
FORMULA
For n >= 2108, a(n+6) = a(n) + 260. - Eric M. Schmidt, Nov 04 2014
For n >= 2115, a(n) = a(n-1) + a(n-6) - a(n-7). - Eric M. Schmidt, Nov 05 2014
EXAMPLE
Generation 0:
101
010
Generation 1:
111
010
Generation 2:
010
111
111
Generation 3:
111
111
111
010
Generation 4:
00100
01110
11111
01110
01110
CROSSREFS
KEYWORD
nonn
AUTHOR
Eric M. Schmidt, Nov 03 2014
STATUS
approved