A297453 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s.

8, 57, 285, 1677, 9774, 55713, 321030, 1848151, 10625522, 61131830, 351682612, 2023019752, 11637747389, 66947610020, 385122792748, 2215463607635, 12744705917954, 73315348059589, 421754827819809, 2426192243526228

Offset

1,1

Comments

Column 4 of A297457.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -2*a(n-2) +14*a(n-3) -69*a(n-4) +45*a(n-5) -13*a(n-6) +23*a(n-7) +3*a(n-8) +3*a(n-9) +2*a(n-10) -4*a(n-11)

Example

Some solutions for n=6
..1..0..0..1. .0..0..0..1. .1..1..0..0. .1..1..0..1. .1..0..0..0
..1..0..0..0. .1..0..0..0. .1..1..0..0. .1..1..0..0. .1..0..0..1
..0..0..0..1. .0..0..0..1. .0..0..0..1. .0..0..0..1. .1..0..0..1
..0..0..0..1. .1..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..0
..0..1..0..0. .0..0..0..1. .1..0..0..0. .0..0..0..1. .1..1..0..0
..0..0..0..0. .1..0..0..1. .1..0..0..0. .1..0..0..0. .0..1..1..0

Crossrefs

Cf. A297457.

Sequence in context: A365303 A296721 A283693 * A096711 A282394 A244201

Adjacent sequences: A297450 A297451 A297452 * A297454 A297455 A297456

Keyword

nonn

Author

R. H. Hardin, Dec 30 2017

Status

approved