A231357 Number of (n+1)X(2+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order

2, 5, 16, 51, 180, 685, 2735, 11243, 47120, 199945, 855484, 3679681, 15882263, 68701955, 297607842, 1290360591, 5597964012, 24294536389, 105460450143, 457862871585, 1988029384006, 8632497563339, 37485816423762, 162782662033991

Offset

1,1

Comments

Column 2 of A231363

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +2*a(n-2) -55*a(n-3) +50*a(n-4) +98*a(n-5) -140*a(n-6) +6*a(n-7) +73*a(n-8) -20*a(n-9) -71*a(n-10) +19*a(n-11) +24*a(n-12) +9*a(n-13) for n>14

Example

Some solutions for n=7
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0
..0..0..0....0..0..1....0..0..0....0..0..0....0..0..0....0..1..1....0..0..1
..0..1..1....0..1..1....0..1..1....0..0..0....1..1..1....1..1..1....0..1..1
..1..1..2....1..1..1....1..1..1....0..0..0....1..1..1....1..1..1....1..1..2
..2..2..2....2..2..2....1..1..2....0..1..1....0..0..0....2..2..2....2..2..2
..2..2..2....2..2..2....1..2..2....1..1..1....0..0..0....2..2..1....2..2..3
..3..3..2....2..2..1....2..2..1....2..2..1....2..2..0....1..1..1....3..3..3
..3..3..2....2..1..1....2..1..1....2..2..1....2..2..0....1..1..1....3..3..3

Crossrefs

Sequence in context: A148389 A108529 A268213 * A303477 A234843 A011819

Adjacent sequences: A231354 A231355 A231356 * A231358 A231359 A231360

Keyword

nonn

Author

R. H. Hardin, Nov 08 2013

Status

approved