A298058 Number of nX3 0..1 arrays with every element equal to 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

0, 3, 0, 2, 6, 13, 22, 68, 132, 323, 790, 1724, 4158, 10007, 22770, 54346, 129582, 301431, 715256, 1697866, 3987490, 9441255, 22363356, 52732570, 124755460, 295222595, 697290424, 1649165304, 3900971604, 9220090253, 21804026010

Offset

1,2

Comments

Column 3 of A298063.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +12*a(n-3) -8*a(n-4) -20*a(n-5) -50*a(n-6) +12*a(n-7) +61*a(n-8) +87*a(n-9) +13*a(n-10) -74*a(n-11) -50*a(n-12) -8*a(n-13) +45*a(n-14) +8*a(n-15) +2*a(n-16) -12*a(n-17) for n>18

Example

Some solutions for n=9
..0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..0..1. .0..1..1. .0..0..1
..0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..0..1. .0..1..1. .0..0..1
..1..1..1. .0..1..1. .1..1..1. .0..1..1. .1..1..1. .0..0..0. .0..1..1
..1..1..1. .0..0..1. .0..1..0. .0..0..1. .1..1..1. .0..0..0. .0..0..1
..0..0..1. .0..1..1. .0..1..0. .0..1..1. .0..0..1. .0..1..1. .1..0..1
..1..1..1. .1..0..1. .1..1..1. .0..0..1. .0..0..1. .0..1..1. .0..1..1
..1..1..1. .0..0..1. .1..1..1. .0..0..1. .0..1..1. .0..0..0. .1..1..1
..1..0..0. .0..1..1. .0..0..1. .0..1..1. .0..0..1. .0..1..1. .1..0..1
..1..0..0. .0..1..1. .0..0..1. .0..1..1. .0..0..1. .0..1..1. .1..0..1

Crossrefs

Cf. A298063.

Sequence in context: A135040 A048733 A309973 * A298707 A274417 A208764

Adjacent sequences: A298055 A298056 A298057 * A298059 A298060 A298061

Keyword

nonn

Author

R. H. Hardin, Jan 11 2018

Status

approved