A298186 Number of nX7 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 8, 8, 9, 10, 14, 19, 27, 38, 58, 90, 142, 225, 362, 587, 959, 1572, 2587, 4270, 7067, 11718, 19462, 32366, 53887, 89799, 149757, 249902, 417231, 696895, 1164423, 1946165, 3253513, 5440154, 9097892, 15216993, 25454538, 42583510, 71244379

Offset

1,2

Comments

Column 7 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-6) -a(n-7) +a(n-8) -a(n-10) +a(n-11) for n>12

Example

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

Crossrefs

Cf. A298187.

Sequence in context: A238272 A187107 A179412 * A175218 A298916 A329032

Adjacent sequences: A298183 A298184 A298185 * A298187 A298188 A298189

Keyword

nonn

Author

R. H. Hardin, Jan 14 2018

Status

approved