A298275 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

1, 18, 129, 873, 6013, 41437, 285280, 1964290, 13524686, 93121972, 641174645, 4414695072, 30396602133, 209290433195, 1441032289599, 9921973168730, 68315992804433, 470377695431660, 3238702495162085, 22299513676118700

Offset

1,2

Comments

Column 3 of A298280.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +8*a(n-2) -12*a(n-3) -8*a(n-4) +2*a(n-5) +3*a(n-6) -2*a(n-7) -7*a(n-9) +2*a(n-10) for n>11

Example

Some solutions for n=6
..0..1..0. .0..0..0. .0..0..1. .0..0..1. .0..0..0. .0..1..1. .0..0..1
..0..1..0. .0..1..1. .0..1..1. .0..0..1. .1..1..0. .1..0..0. .1..1..0
..1..0..0. .1..0..0. .0..1..1. .0..1..1. .1..0..1. .1..0..0. .1..1..1
..0..1..0. .1..1..1. .1..0..0. .1..0..0. .0..1..0. .1..0..1. .1..0..0
..0..1..0. .0..1..0. .1..0..1. .0..1..0. .1..0..0. .1..1..0. .0..1..1
..0..1..1. .0..0..1. .1..1..0. .0..1..1. .0..1..1. .1..0..1. .0..0..1

Crossrefs

Cf. A298280.

Sequence in context: A375329 A244879 A142965 * A299137 A299368 A299932

Adjacent sequences: A298272 A298273 A298274 * A298276 A298277 A298278

Keyword

nonn

Author

R. H. Hardin, Jan 16 2018

Status

approved