A299716 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 13, 46, 246, 1205, 6354, 33804, 182056, 988181, 5383273, 29402184, 160807858, 880215678, 4820339682, 26404860216, 144663504555, 792635765966, 4343214217393, 23799184544981, 130412897747638, 714633600281963

Offset

1,2

Comments

Column 3 of A299721.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +11*a(n-2) -30*a(n-3) -94*a(n-4) +6*a(n-5) +166*a(n-6) +73*a(n-7) -28*a(n-8) +30*a(n-9) -24*a(n-10) -50*a(n-11) -6*a(n-12) for n>14

Example

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

Crossrefs

Cf. A299721.

Sequence in context: A326163 A034462 A116476 * A035340 A207992 A274447

Adjacent sequences: A299713 A299714 A299715 * A299717 A299718 A299719

Keyword

nonn

Author

R. H. Hardin, Feb 17 2018

Status

approved