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

1,1

Comments

Column 3 of A231396.

Links

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

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).

Example

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

Crossrefs

Cf. A231396.

Sequence in context: A058826 A142241 A186121 * A231459 A244702 A187086

Adjacent sequences: A231388 A231389 A231390 * A231392 A231393 A231394

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved