A175000 Number of stable n-celled patterns ("still lifes") in the HighLife (B36/S23) cellular automaton.

0, 0, 0, 2, 1, 4, 4, 9, 9, 25, 44, 111, 218

Offset

1,4

Comments

Counts only distinct strict still lifes; reflections and rotations are removed. Pseudo-still lifes (e.g., patterns made up of two disjoint still lifes) are not counted.

Links

Table of n, a(n) for n=1..13.

LifeWiki, HighLife

Example

a(4)=2 because there are only two still-lives with four cells: the block (a 2x2 block) and the tub (four cells bordering all four sides of an empty spot).

Crossrefs

Cf. A019473, A166476

Sequence in context: A195691 A074763 A099932 * A355020 A008346 A119282

Adjacent sequences: A174997 A174998 A174999 * A175001 A175002 A175003

Keyword

hard,more,nonn

Author

Christian Schroeder, Apr 03 2010

Status

approved