A231214 Number of (n+1)X(3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..2 introduced in row major order.

7, 22, 93, 408, 1793, 7844, 34609, 152421, 672446, 2965705, 13084976, 57727896, 254711179, 1123832479, 4958718969, 21879386505, 96539467026, 425965183425, 1879509395614, 8293059346003, 36591936428964, 161456668184975

Offset: 1

Author

R. H. Hardin, Nov 05 2013

Keywords

• nonn

Comments

Column 3 of A231219

Examples

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

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -16*a(n-2) -11*a(n-3) +77*a(n-4) -147*a(n-5) +179*a(n-6) -109*a(n-7) +129*a(n-8) -231*a(n-9) +327*a(n-10) -280*a(n-11) -288*a(n-12) +548*a(n-13) -504*a(n-14) +486*a(n-15) -183*a(n-16) +48*a(n-17) -24*a(n-18) -8*a(n-19)