A239151 Number of (n+1)X(2+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order.

2, 2, 55, 208, 2778, 17050, 166531, 1221727, 10652903, 83558723, 698912193, 5620874008, 46297856418, 375826633534, 3078013187839, 25072750273992, 204911552403250, 1671311190316246, 13648365689804011, 111372868203567131

Offset: 1

Author

R. H. Hardin, Mar 11 2014

Keywords

• nonn

Comments

Column 2 of A239155

Examples

			Some solutions for n=5
..0..1..0....0..1..0....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..0..1..0....0..1..0....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..0..2..3....0..1..2....0..3..0....3..2..0....1..3..2....0..3..0....2..3..2
..0..2..3....3..1..2....0..3..0....3..2..0....1..3..2....1..3..0....2..3..2
..0..3..1....3..2..1....3..2..1....2..3..1....3..0..1....1..0..2....1..2..3
..0..3..1....3..2..1....3..2..1....2..3..1....3..0..1....1..0..2....1..2..3
		

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +51*a(n-2) -84*a(n-3) -529*a(n-4) +442*a(n-5) +1605*a(n-6) +1916*a(n-7) -5423*a(n-8) -5800*a(n-9) +8753*a(n-10) +890*a(n-11) -5088*a(n-12) +4464*a(n-13) +3456*a(n-14)