A316277 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

1, 25, 125, 846, 5321, 34017, 216805, 1382759, 8818011, 56235794, 358634504, 2287139522, 14585896741, 93019435778, 593217934737, 3783161234432, 24126561478176, 153863643025597, 981243045206416, 6257735063392694

Offset

1,2

Comments

Column 3 of A316282.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +16*a(n-2) +5*a(n-3) -50*a(n-4) -91*a(n-5) -64*a(n-6) -37*a(n-7) -23*a(n-8) -5*a(n-9) for n>10

Example

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

Crossrefs

Cf. A316282.

Sequence in context: A066609 A074006 A073963 * A201842 A057902 A042216

Adjacent sequences: A316274 A316275 A316276 * A316278 A316279 A316280

Keyword

nonn

Author

R. H. Hardin, Jun 28 2018

Status

approved