A302803 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

4, 29, 169, 1010, 6084, 36456, 218640, 1312416, 7873344, 47237760, 283440384, 1700614656, 10203632640, 61222127616, 367332102144, 2203991285760, 13223955677184, 79343718137856, 476062276976640, 2856373852962816

Offset

1,1

Comments

Column 3 of A302808.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +24*a(n-3) -144*a(n-4) for n>6

Example

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

Crossrefs

Cf. A302808.

Sequence in context: A273209 A273271 A200069 * A300806 A303464 A301445

Adjacent sequences: A302800 A302801 A302802 * A302804 A302805 A302806

Keyword

nonn

Author

R. H. Hardin, Apr 13 2018

Status

approved