A282644 Number of nX5 0..1 arrays with no 1 equal to more than one of its king-move neighbors.

24, 201, 1601, 15460, 133118, 1190848, 10614316, 94161619, 838433062, 7454215075, 66292530149, 589611150641, 5243462854609, 46633173607625, 414729611119231, 3688374141775373, 32802445652275246, 291727015058062232

Offset

1,1

Comments

Column 5 of A282647.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +31*a(n-2) +127*a(n-3) -103*a(n-4) -166*a(n-5) -1614*a(n-6) +2383*a(n-7) -4797*a(n-8) +13056*a(n-9) -10639*a(n-10) +8408*a(n-11) -11834*a(n-12) +3060*a(n-13) -2498*a(n-14) +4177*a(n-15) +266*a(n-16) +332*a(n-17) -384*a(n-18) +45*a(n-19) +21*a(n-20) +30*a(n-21)

Example

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

Crossrefs

Cf. A282647.

Sequence in context: A239574 A223748 A269691 * A283540 A047659 A108671

Adjacent sequences: A282641 A282642 A282643 * A282645 A282646 A282647

Keyword

nonn

Author

R. H. Hardin, Feb 20 2017

Status

approved