A282395 Number of nX4 0..1 arrays with no 1 equal to more than three of its king-move neighbors.

16, 213, 2048, 23773, 266425, 2966724, 33295509, 372745151, 4173376213, 46739417550, 523384918422, 5860963933056, 65632659610425, 734967860658205, 8230333458750528, 92165106111769481, 1032085136849026696

Offset

1,1

Comments

Column 4 of A282399.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +24*a(n-2) +155*a(n-3) -251*a(n-4) +195*a(n-5) -2577*a(n-6) +337*a(n-7) -4734*a(n-8) -38*a(n-9) -1066*a(n-10) -1924*a(n-11) +101*a(n-12) -437*a(n-13) +447*a(n-14) +128*a(n-15) +67*a(n-16) +34*a(n-17)

Example

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

Crossrefs

Cf. A282399.

Sequence in context: A059385 A009440 A284226 * A273588 A125473 A245828

Adjacent sequences: A282392 A282393 A282394 * A282396 A282397 A282398

Keyword

nonn

Author

R. H. Hardin, Feb 14 2017

Status

approved