A305283 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero.

1, 23, 55, 279, 895, 3696, 13289, 51734, 192418, 735241, 2765966, 10501378, 39658770, 150239389, 568125614, 2150618007, 8136093736, 30791019947, 116504256865, 440871748994, 1668215077887, 6312621082911, 23886745061996

Offset

1,2

Comments

Column 3 of A305288.

Links

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

Formula

Empirical: a(n) = a(n-1) +11*a(n-2) +5*a(n-3) -19*a(n-4) -23*a(n-5) -2*a(n-6) -14*a(n-7) -16*a(n-8) -19*a(n-9) -12*a(n-10) -a(n-11) -6*a(n-12) +3*a(n-13) -a(n-14) +2*a(n-15) for n>16

Example

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

Crossrefs

Cf. A305288.

Sequence in context: A303891 A264117 A033657 * A166144 A007795 A153353

Adjacent sequences: A305280 A305281 A305282 * A305284 A305285 A305286

Keyword

nonn

Author

R. H. Hardin, May 29 2018

Status

approved