A231391 Number of (n+1) X (3+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

14, 38, 100, 272, 740, 2061, 5834, 16521, 46969, 133864, 382377, 1093837, 3133209, 8984580, 25782696, 74034161, 212690121, 611260183, 1757248511, 5052897615, 14532031920, 41799692849, 120245136990, 345938696990, 995313138719

Offset: 1

Author

R. H. Hardin, Nov 08 2013

Keywords

• nonn

Comments

Column 3 of A231396.

Examples

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

Links

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

Crossrefs

Cf. A231396.

Formula

Empirical: a(n) = 4*a(n-1) -8*a(n-3) -8*a(n-4) +7*a(n-5) +12*a(n-6) +23*a(n-7) -42*a(n-8) -16*a(n-9) +81*a(n-10) -14*a(n-11) -52*a(n-12) +15*a(n-13) -2*a(n-14) -17*a(n-15) +4*a(n-16) +10*a(n-17) +4*a(n-18).