A231663 T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors.

3, 3, 3, 9, 15, 9, 22, 93, 93, 22, 51, 458, 1197, 458, 51, 121, 2163, 13434, 13434, 2163, 121, 292, 10789, 144465, 345519, 144465, 10789, 292, 704, 53813, 1607589, 8300390, 8300390, 1607589, 53813, 704, 1691, 265397, 17962078, 206363144, 434469343

Offset: 1

Author

R. H. Hardin, Nov 12 2013

Keywords

• nonn
• tabl

Comments

Table starts

....3.......3..........9............22...............51.................121

....3......15.........93...........458.............2163...............10789

....9......93.......1197.........13434...........144465.............1607589

...22.....458......13434........345519..........8300390...........206363144

...51....2163.....144465.......8300390........434469343.........23632808750

..121...10789....1607589.....206363144......23632808750.......2825994465190

..292...53813...17962078....5175246459....1304771142134.....344368908016123

..704..265397..199451319..128866716238...71426776678405...41555342706134920

.1691.1311447.2215334132.3207643017150.3902799543486962.5000894272327355414

Examples

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

Links

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

Crossrefs

Column 1 is A202882 for n>1

Formula

Empirical for column k:

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

k=2: [order 15]

k=3: [order 57]