A231193 Number of (n+1)X(2+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.

67, 1413, 31665, 704428, 15698874, 349736292, 7791727354, 173590087438, 3867375772894, 86160416104014, 1919549013278026, 42765211455425302, 952756766481301782, 21226259035646084422, 472895169574435473198

Offset: 1

Author

R. H. Hardin, Nov 05 2013

Keywords

• nonn

Comments

Column 2 of A231199

Examples

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

Links

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

Formula

Empirical: a(n) = 22*a(n-1) +7*a(n-2) -24*a(n-3) +218*a(n-4) -1474*a(n-5) -4420*a(n-6) +892*a(n-7) +1572*a(n-8) +5428*a(n-9) +124572*a(n-10) +179816*a(n-11) -55176*a(n-12) -492608*a(n-13) -667584*a(n-14) -56192*a(n-15) +368640*a(n-16) +246784*a(n-17) -61440*a(n-18)