A300799 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

4, 32, 228, 1672, 12228, 89472, 654628, 4789672, 35044228, 256405472, 1876022628, 13726153672, 100429116228, 734802161472, 5376271710628, 39336162877672, 287807944468228, 2105782741357472, 15407222208518628, 112728863961361672

Offset

1,1

Comments

Column 3 of A300804.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A300804.

Sequence in context: A300210 A302736 A033515 * A303457 A303451 A301438

Adjacent sequences: A300796 A300797 A300798 * A300800 A300801 A300802

Keyword

nonn

Author

R. H. Hardin, Mar 13 2018

Status

approved