A231199 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order.

9, 67, 67, 538, 1413, 538, 4264, 31665, 31665, 4264, 33868, 704428, 2001156, 704428, 33868, 268936, 15698874, 125862699, 125862699, 15698874, 268936, 2135636, 349736292, 7925306181, 22370911245, 7925306181, 349736292, 2135636, 16959144

Offset: 1

Author

R. H. Hardin, Nov 05 2013

Keywords

• nonn
• tabl

Comments

Table starts

.......9.........67............538...............4264.................33868

......67.......1413..........31665.............704428..............15698874

.....538......31665........2001156..........125862699............7925306181

....4264.....704428......125862699........22370911245.........3979620300917

...33868...15698874.....7925306181......3979620300917......2000159147569783

..268936..349736292...498915418541....707803712206189...1005095606724544160

.2135636.7791727354.31409217221246.125892415174551558.505085343218758535024

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -4*a(n-3) +4*a(n-4) -12*a(n-5) -16*a(n-6)

k=2: [order 18]

k=3: [order 62]