A394931 Number of point sets with a unique stable state in the 2 X n neighborhood grid.

2, 12, 106, 1108, 12826, 163276, 2274592, 34318068

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Alex McDonough, Ulrich Reitebuch, and Martin Skrodzki, Combinatorial and asymptotic results on the neighborhood grid, Discrete Applied Mathematics, Volume 372, 2025, 48-64. Link to a preprint.

Example

For n=1, the a(1)=2 solutions are {(1,1),(2,2)} and {(1,2),(2,1)}.

Crossrefs

Cf. A000142 (1 X n grid), A394932 (3 X n grid).

Sequence in context: A258230 A085867 A141133 * A217801 A036077 A275765

Adjacent sequences: A394928 A394929 A394930 * A394932 A394933 A394934

Keyword

nonn,more

Author

Martin Skrodzki, Apr 07 2026

Status

approved