A302065 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

8, 81, 748, 7070, 67070, 636852, 6048836, 57457232, 545796112, 5184660760, 49250608992, 467846412016, 4444215843808, 42216967044320, 401031909830432, 3809525073635904, 36187846859821376, 343759454672598656

Offset

1,1

Comments

Column 4 of A302069.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -76*a(n-2) +148*a(n-3) -124*a(n-4) +36*a(n-5) for n>6

Example

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

Crossrefs

Cf. A302069.

Sequence in context: A007792 A301837 A264185 * A098308 A055996 A324016

Adjacent sequences: A302062 A302063 A302064 * A302066 A302067 A302068

Keyword

nonn

Author

R. H. Hardin, Mar 31 2018

Status

approved