A299316 Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 1, 15, 10, 70, 146, 434, 1206, 3228, 9186, 24772, 69398, 189942, 526396, 1450524, 4005122, 11055658, 30506770, 84220672, 232416524, 641554400, 1770641470, 4887237832, 13489036144, 37230869642, 102760304362, 283626021494

Offset

1,3

Comments

Column 3 of A299321.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A299321.

Sequence in context: A123542 A215236 A040212 * A321419 A013379 A013449

Adjacent sequences: A299313 A299314 A299315 * A299317 A299318 A299319

Keyword

nonn

Author

R. H. Hardin, Feb 06 2018

Status

approved