A299816 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

1, 13, 39, 202, 894, 4507, 22684, 116651, 605727, 3159382, 16537678, 86697810, 454970673, 2388855177, 12546612125, 65907887547, 346249228930, 1819128113520, 9557636406332, 50216318435526, 263841572707504, 1386257187235490

Offset

1,2

Comments

Column 3 of A299821.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +4*a(n-2) -39*a(n-3) -35*a(n-4) +109*a(n-5) +37*a(n-6) -129*a(n-7) +69*a(n-8) +95*a(n-9) -110*a(n-10) +6*a(n-11) -20*a(n-12) -28*a(n-13) +6*a(n-14) for n>16

Example

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

Crossrefs

Cf. A299821.

Sequence in context: A152741 A168235 A258597 * A041324 A220083 A041326

Adjacent sequences: A299813 A299814 A299815 * A299817 A299818 A299819

Keyword

nonn

Author

R. H. Hardin, Feb 19 2018

Status

approved