A318041 Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

1, 3, 21, 140, 905, 6179, 42793, 297043, 2056698, 14234986, 98543469, 682235511, 4723208829, 32699080489, 226377712742, 1567228238886, 10850029939485, 75115505261838, 520029800880263, 3600202027360686, 24924446019234303

Offset

1,2

Comments

Column 4 of A318045.

Links

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

R. H. Hardin, Empirical recurrence of order 72

Formula

Empirical recurrence of order 72 (see link above)

Example

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

Crossrefs

Cf. A318045.

Sequence in context: A137969 A303349 A337467 * A054419 A228115 A033888

Adjacent sequences: A318038 A318039 A318040 * A318042 A318043 A318044

Keyword

nonn

Author

R. H. Hardin, Aug 13 2018

Status

approved