A301659 Number of nX5 0..1 arrays with every element equal to 0, 1 or 4 horizontally or vertically adjacent elements, with upper left element zero.

8, 9, 15, 24, 46, 99, 223, 528, 1268, 3085, 7557, 18564, 45712, 112683, 277951, 685904, 1692980, 4179275, 10317757, 25473562, 62893616, 155285391, 383406003, 946650748, 2337341394, 5771057703, 14249158391, 35182226914, 86867560256

Offset

1,1

Comments

Column 5 of A301662.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +a(n-3) -4*a(n-4) -4*a(n-6) +3*a(n-7) +3*a(n-8) +a(n-9) +a(n-10) -2*a(n-11)

Example

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

Crossrefs

Cf. A301662.

Sequence in context: A134334 A351048 A292188 * A265221 A286476 A265732

Adjacent sequences: A301656 A301657 A301658 * A301660 A301661 A301662

Keyword

nonn

Author

R. H. Hardin, Mar 25 2018

Status

approved