A299446 Number of n X 3 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

3, 4, 1, 4, 10, 6, 11, 41, 24, 42, 169, 100, 159, 710, 405, 643, 2995, 1673, 2659, 12648, 6948, 11132, 53434, 29109, 46870, 225916, 122510, 197807, 955669, 517066, 835904, 4044687, 2185734, 3535227, 17123968, 9247255, 14959235, 72513441, 39141547

Offset: 1

Author

R. H. Hardin, Feb 10 2018

Keywords

• nonn

Comments

Column 3 of A299451.

Examples

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

Links

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

Crossrefs

Cf. A299451.

Formula

Empirical: a(n) = a(n-1) +5*a(n-3) -5*a(n-4) +a(n-5) -2*a(n-6) +2*a(n-7) -2*a(n-8) -8*a(n-9) +5*a(n-10) -10*a(n-11) +10*a(n-12) +a(n-13) +2*a(n-14) +7*a(n-15) +a(n-17) +a(n-18) for n>19.