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

1,1

Comments

Column 3 of A299451.

Links

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

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.

Example

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

Crossrefs

Cf. A299451.

Sequence in context: A293190 A091542 A247041 * A300084 A321624 A079529

Adjacent sequences: A299443 A299444 A299445 * A299447 A299448 A299449

Keyword

nonn

Author

R. H. Hardin, Feb 10 2018

Status

approved