A305342 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.

3, 9, 14, 28, 63, 126, 245, 505, 1037, 2088, 4230, 8613, 17472, 35423, 71929, 146011, 296248, 601240, 1220345, 2476606, 5026129, 10200761, 20702551, 42015462, 85270560, 173057285, 351219532, 712800109, 1446630113, 2935938275, 5958489786

Offset

1,1

Comments

Column 3 of A305347.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-3) +2*a(n-4) +a(n-5) +a(n-6) -a(n-7) -a(n-8) -a(n-9) -a(n-11) -a(n-12)

Example

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

Crossrefs

Cf. A305347.

Sequence in context: A195972 A274435 A136562 * A197274 A316234 A317155

Adjacent sequences: A305339 A305340 A305341 * A305343 A305344 A305345

Keyword

nonn

Author

R. H. Hardin, May 30 2018

Status

approved