A281322 Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 394, 21734, 953236, 37854870, 1420883314, 51413566384, 1813061036754, 62727044483806, 2138467742923228, 72055764763969422, 2404909539462228154, 79633692821692812712, 2619397411313883712026, 85670871878295276005590

Offset

1,1

Comments

Column 4 of A281326.

Links

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

Formula

Empirical: a(n) = 58*a(n-1) -753*a(n-2) -2606*a(n-3) -532*a(n-4) +7074*a(n-5) +6399*a(n-6) -4374*a(n-7) -6561*a(n-8) for n>9

Example

Some solutions for n=3
..0..1..0..0. .0..0..0..1. .0..1..0..1. .0..1..2..1. .0..1..2..2
..2..1..2..1. .1..1..2..2. .1..0..0..2. .1..0..1..1. .1..1..0..0
..0..1..1..2. .2..1..0..1. .0..2..0..2. .0..2..2..1. .2..1..2..1

Crossrefs

Cf. A281326.

Sequence in context: A176937 A092701 A321230 * A360702 A249359 A249255

Adjacent sequences: A281319 A281320 A281321 * A281323 A281324 A281325

Keyword

nonn

Author

R. H. Hardin, Jan 20 2017

Status

approved