A305037 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 6 or 7 king-move adjacent elements, with upper left element zero.

16, 8, 13, 26, 43, 109, 319, 718, 1632, 4351, 10773, 25199, 62720, 157051, 379668, 927104, 2297777, 5633013, 13757409, 33842016, 83191131, 203775710, 499991378, 1228342299, 3013570173, 7392226135, 18147245684, 44540437375, 109282630804

Offset

1,1

Comments

Column 5 of A305040.

Links

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

Formula

Empirical: a(n) = a(n-1) +9*a(n-3) +2*a(n-4) -14*a(n-6) -4*a(n-7) for n>11

Example

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

Crossrefs

Cf. A305040.

Sequence in context: A102270 A102272 A304227 * A083536 A305583 A316690

Adjacent sequences: A305034 A305035 A305036 * A305038 A305039 A305040

Keyword

nonn

Author

R. H. Hardin, May 24 2018

Status

approved