A302736 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

4, 32, 228, 1652, 11980, 86916, 630604, 4575332, 33196332, 240856196, 1747533964, 12679246500, 91994373868, 667465912772, 4842804251724, 35137004861924, 254936818941100, 1849696122577668, 13420484966010892, 97372435679847716

Offset

1,1

Comments

Column 3 of A302741.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +2*a(n-2) +2*a(n-3) -20*a(n-4) -16*a(n-5)

Example

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

Crossrefs

Cf. A302741.

Sequence in context: A317560 A302742 A300210 * A033515 A300799 A303457

Adjacent sequences: A302733 A302734 A302735 * A302737 A302738 A302739

Keyword

nonn

Author

R. H. Hardin, Apr 12 2018

Status

approved