A300347 Number of nX5 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

3, 37, 57, 152, 306, 729, 1496, 3223, 6893, 14847, 31957, 68842, 148439, 320256, 691019, 1491306, 3218713, 6947412, 14996127, 32370115, 69873873, 150830506, 325586292, 702821226, 1517137602, 3274960728, 7069488750, 15260562309

Offset

1,1

Comments

Column 5 of A300350.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +a(n-6) -3*a(n-7) +4*a(n-8) -2*a(n-9) +a(n-10) -a(n-11) -a(n-14) +a(n-15) for n>19

Example

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

Crossrefs

Cf. A300350.

Sequence in context: A286637 A106996 A338751 * A047691 A323829 A139842

Adjacent sequences: A300344 A300345 A300346 * A300348 A300349 A300350

Keyword

nonn

Author

R. H. Hardin, Mar 03 2018

Status

approved