A301837 Number of nX4 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

8, 81, 678, 5748, 48802, 414385, 3518619, 29877293, 253694309, 2154171994, 18291531681, 155317282580, 1318832060857, 11198483378779, 95088702916552, 807418390272882, 6855961191710593, 58215423910060190, 494319539779559696

Offset

1,1

Comments

Column 4 of A301841.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -46*a(n-2) +72*a(n-3) -57*a(n-4) +16*a(n-5) for n>6

Example

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

Crossrefs

Cf. A301841.

Sequence in context: A274752 A240632 A007792 * A264185 A302065 A098308

Adjacent sequences: A301834 A301835 A301836 * A301838 A301839 A301840

Keyword

nonn

Author

R. H. Hardin, Mar 27 2018

Status

approved