A317038 Number of n X 3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

3, 9, 14, 33, 90, 204, 527, 1547, 4509, 13756, 44003, 143486, 475482, 1595723, 5396281, 18338839, 62514686, 213545607, 730447004, 2500465998, 8563969469, 29341435507, 100548091093, 344604361018, 1181151528141, 4048673516576

Offset

1,1

Comments

Column 3 of A317043.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +19*a(n-3) -60*a(n-4) +56*a(n-5) -70*a(n-6) +166*a(n-7) -101*a(n-8) +21*a(n-9) -30*a(n-10) +72*a(n-11) -41*a(n-12) -333*a(n-13) +428*a(n-14) -122*a(n-15) -36*a(n-16) +16*a(n-17) for n>19.

Example

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

Crossrefs

Cf. A317043.

Sequence in context: A317155 A316422 A100785 * A317692 A175351 A332660

Adjacent sequences: A317035 A317036 A317037 * A317039 A317040 A317041

Keyword

nonn

Author

R. H. Hardin, Jul 19 2018

Status

approved