A279168 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 1, 1, 0, 0, 0, 3, 0, 0, 3, 3, 8, 16, 8, 3, 9, 24, 117, 117, 24, 9, 15, 88, 483, 864, 483, 88, 15, 31, 284, 2001, 5628, 5628, 2001, 284, 31, 57, 772, 7709, 34764, 57248, 34764, 7709, 772, 57, 108, 2000, 28139, 203226, 557163, 557163, 203226, 28139, 2000, 108, 199

Offset: 1

Author

R. H. Hardin, Dec 07 2016

Keywords

• nonn
• tabl

Comments

Table starts

...0....1......0........3..........3............9.............15

...1....0......0........8.........24...........88............284

...0....0.....16......117........483.........2001...........7709

...3....8....117......864.......5628........34764.........203226

...3...24....483.....5628......57248.......557163........5159514

...9...88...2001....34764.....557163......8426362......121098448

..15..284...7709...203226....5159514....121098448.....2708250146

..31..772..28139..1143396...45915548...1686053298....58954576326

..57.2000..99519..6219491..396958758..22825771952..1248383818884

.108.5008.343156.33013384.3354431037.302051174586.25842455526113

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..161

Crossrefs

Column 1 is A105423(n-2).

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6)

k=2: [order 11]

k=3: [order 33] for n>36

k=4: [order 84] for n>88