A231700 T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

4, 4, 4, 16, 28, 16, 50, 272, 272, 50, 144, 1998, 5972, 1998, 144, 422, 13260, 115583, 115583, 13260, 422, 1268, 94996, 2049855, 6074096, 2049855, 94996, 1268, 3823, 691229, 37872601, 286808607, 286808607, 37872601, 691229, 3823, 11472, 4926082

Offset: 1

Author

R. H. Hardin, Nov 12 2013

Keywords

• nonn
• tabl

Comments

Table starts

.....4.........4............16................50....................144

.....4........28...........272..............1998..................13260

....16.......272..........5972............115583................2049855

....50......1998........115583...........6074096..............286808607

...144.....13260.......2049855.........286808607............34764511754

...422.....94996......37872601.......14007173906..........4333974317355

..1268....691229.....711067486......696904625544........556835183317668

..3823...4926082...13223846355....34390368202345......71067313709831125

.11472..35082734..245394073602..1693611631652448....9020067185976407959

.34350.251198534.4563802124823.83546478885400765.1146622410485781036080

Examples

			Some solutions for n=3 k=4
..1..0..0..3....2..1..1..2....0..0..0..0....0..3..0..2....0..0..0..0
..0..0..3..0....0..0..0..3....3..0..0..3....0..0..0..0....0..0..0..3
..1..3..0..0....0..0..0..2....0..0..0..1....2..0..0..1....2..0..1..3
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A203094 for n>1

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7) for n>8

k=2: [order 22]