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A249668
Population of the n-th generation of the pattern 101//010 in the Life Without Death cellular automaton.
1
3, 4, 7, 10, 15, 20, 25, 30, 38, 47, 55, 63, 69, 79, 91, 96, 105, 112, 124, 134, 139, 144, 152, 157, 163, 168, 176, 183, 187, 195, 205, 217, 223, 229, 239, 247, 259, 273, 285, 289, 295, 303, 311, 323, 334, 339, 343, 351, 363, 375, 383, 389, 397, 405, 413, 423
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
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