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

1,1

Comments

Column 3 of A231219

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)

Example

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

Crossrefs

Sequence in context: A151822 A302724 A305083 * A041913 A231339 A222178

Adjacent sequences: A231211 A231212 A231213 * A231215 A231216 A231217

Keyword

nonn

Author

R. H. Hardin, Nov 05 2013

Status

approved