A268764 Number of nX6 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

20, 258, 2607, 23156, 193573, 1552272, 12111209, 92571436, 696659613, 5178525870, 38112289517, 278191828634, 2016589831189, 14532118028260, 104191269908219, 743719988895596, 5288057396240333, 37470071363668612, 264689231027772351

Offset

1,1

Comments

Column 6 of A268766.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 6*a(n-1) +51*a(n-2) -214*a(n-3) -1074*a(n-4) +2018*a(n-5) +7713*a(n-6) -10572*a(n-7) -22926*a(n-8) +30116*a(n-9) +25283*a(n-10) -32400*a(n-11) -15148*a(n-12) +15184*a(n-13) +5660*a(n-14) -2688*a(n-15) -1024*a(n-16)

Example

Some solutions for n=4
..0..0..0..0..0..1. .0..1..1..0..0..1. .0..0..0..0..0..0. .0..1..0..0..0..1
..0..0..1..1..0..0. .0..0..0..0..0..0. .0..0..0..0..1..1. .0..0..0..0..0..1
..0..0..0..0..0..0. .0..1..0..0..1..0. .1..0..0..0..0..0. .0..0..1..0..0..0
..0..1..0..0..0..1. .0..0..0..0..0..0. .0..0..1..0..0..0. .1..0..0..0..0..0

Crossrefs

Cf. A268766.

Sequence in context: A348055 A025986 A028027 * A081244 A025966 A356837

Adjacent sequences: A268761 A268762 A268763 * A268765 A268766 A268767

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved