

A249668


Population of the nth 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
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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 3celled 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(n1) + a(n6)  a(n7).  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

Cf. A097981, A151725, A151731.
Sequence in context: A236475 A287458 A050572 * A105343 A237834 A147789
Adjacent sequences: A249665 A249666 A249667 * A249669 A249670 A249671


KEYWORD

nonn


AUTHOR

Eric M. Schmidt, Nov 03 2014


STATUS

approved



