A299361 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

1, 13, 23, 125, 420, 1943, 9012, 42321, 205597, 995518, 4853006, 23686103, 115662456, 565154846, 2761642814, 13496474311, 65961394749, 322378456355, 1575606171809, 7700708480150, 37636981234967, 183949803071588

Offset

1,2

Comments

Column 3 of A299366.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +2*a(n-2) -38*a(n-3) -24*a(n-4) +163*a(n-5) +33*a(n-6) -337*a(n-7) +66*a(n-8) +312*a(n-9) -116*a(n-10) -92*a(n-11) +6*a(n-12) for n>14

Example

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

Crossrefs

Cf. A299366.

Sequence in context: A131447 A110196 A039448 * A089768 A300602 A185684

Adjacent sequences: A299358 A299359 A299360 * A299362 A299363 A299364

Keyword

nonn

Author

R. H. Hardin, Feb 08 2018

Status

approved