A298185 Number of nX6 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 5, 5, 6, 7, 10, 14, 20, 29, 44, 68, 106, 166, 262, 416, 663, 1059, 1695, 2718, 4365, 7018, 11294, 18190, 29317, 47278, 76280, 123124, 198806, 321106, 518776, 838315, 1354929, 2190261, 3541074, 5725655, 9258890, 14973726, 24217684, 39170801

Offset

1,2

Comments

Column 6 of A298187.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +2*a(n-4) -2*a(n-5) +a(n-7) for n>8

Example

Some solutions for n=7
..0..0..0..0..1..1. .0..0..0..1..1..1. .0..0..0..0..0..0. .0..0..0..1..1..1
..0..0..0..0..1..1. .0..0..0..1..1..1. .0..0..0..0..0..0. .0..0..0..1..1..1
..0..0..0..0..1..1. .0..0..0..1..1..1. .1..1..1..1..1..1. .0..0..1..0..1..1
..0..0..0..0..1..1. .0..0..1..0..1..1. .1..1..1..1..1..1. .1..1..0..1..0..0
..0..0..0..0..1..1. .1..1..0..1..0..0. .1..1..1..1..1..1. .1..1..1..0..0..0
..0..0..0..0..1..1. .1..1..1..0..0..0. .1..1..1..1..1..1. .1..1..1..0..0..0
..0..0..0..0..1..1. .1..1..1..0..0..0. .1..1..1..1..1..1. .1..1..1..0..0..0

Crossrefs

Cf. A298187.

Sequence in context: A152481 A157276 A010486 * A329082 A111423 A153444

Adjacent sequences: A298182 A298183 A298184 * A298186 A298187 A298188

Keyword

nonn

Author

R. H. Hardin, Jan 14 2018

Status

approved