A302207 Number of nX3 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

1, 11, 16, 47, 147, 386, 1065, 3063, 8624, 24219, 68527, 193946, 547869, 1548531, 4380048, 12385479, 35018011, 99025330, 280031137, 791849343, 2239169200, 6331964803, 17905479095, 50632882698, 143179634869, 404883140379

Offset

1,2

Comments

Column 3 of A302212.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +9*a(n-3) -13*a(n-4) +2*a(n-5) -12*a(n-6) +12*a(n-7) -16*a(n-9)

Example

Some solutions for n=5
..0..0..0. .0..1..1. .0..1..1. .0..1..0. .0..0..1. .0..1..1. .0..0..0
..1..0..1. .0..1..1. .1..1..0. .1..1..1. .0..0..1. .0..1..1. .1..0..1
..1..0..0. .0..1..0. .0..1..0. .0..1..0. .0..0..1. .0..1..1. .1..0..0
..0..0..1. .0..1..1. .1..1..0. .0..1..1. .1..0..1. .0..1..1. .0..0..1
..0..0..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..0. .1..0..0

Crossrefs

Cf. A302212.

Sequence in context: A128835 A316171 A184064 * A032311 A032221 A032146

Adjacent sequences: A302204 A302205 A302206 * A302208 A302209 A302210

Keyword

nonn

Author

R. H. Hardin, Apr 03 2018

Status

approved