A281340 Number of nX4 0..1 arrays with no element equal to more than three of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

8, 85, 193, 607, 1892, 5868, 18189, 56154, 173062, 534110, 1650156, 5098879, 15751692, 48653245, 150278118, 464200703, 1433942077, 4429534747, 13682972108, 42266936805, 130563482897, 403314526070, 1245852260586, 3848479634326

Offset

1,1

Comments

Column 4 of A281344.

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) +4*a(n-3) -a(n-5) -8*a(n-6) -35*a(n-7) +29*a(n-8) +32*a(n-9) +39*a(n-10) -35*a(n-11) -31*a(n-12) +5*a(n-13) +14*a(n-14) -3*a(n-15) -14*a(n-16) +2*a(n-17) +4*a(n-18) for n>21

Example

Some solutions for n=4
..0..1..1..0. .0..0..0..0. .0..1..0..1. .0..1..0..1. .0..0..0..1
..1..0..0..1. .1..1..1..1. .1..0..1..0. .1..1..0..0. .1..1..1..1
..1..0..1..1. .0..0..0..0. .1..0..1..0. .0..0..1..1. .0..0..0..0
..1..1..0..0. .1..1..0..1. .0..0..1..0. .1..0..1..0. .1..1..0..1

Crossrefs

Cf. A281344.

Sequence in context: A205311 A258338 A245197 * A298283 A299176 A093103

Adjacent sequences: A281337 A281338 A281339 * A281341 A281342 A281343

Keyword

nonn

Author

R. H. Hardin, Jan 20 2017

Status

approved