A253024 Number of (n+2)X(7+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.

189, 243, 302, 369, 554, 720, 920, 1312, 1616, 1976, 2784, 3472, 4272, 6096, 7664, 9464, 13504, 16952, 20904, 29792, 37384, 46080, 65680, 82448, 101624, 144864, 181872, 224152, 319520, 401168, 494384, 704720, 884848, 1090392, 1554304

Offset

1,1

Comments

Column 7 of A253025

Links

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

Formula

Empirical: a(n) = 3*a(n-3) -a(n-6) -a(n-9) -a(n-12) -a(n-15) for n>20

Example

Some solutions for n=4
..0..1..2..0..3..2..0..1..2....0..1..2..3..1..2..0..1..2
..0..0..0..0..0..0..0..0..0....2..2..2..2..2..2..2..2..2
..0..2..3..0..2..1..0..2..1....1..3..2..1..0..2..1..0..2
..0..3..2..0..1..2..0..1..2....3..1..2..0..1..2..0..1..2
..0..0..0..0..0..0..0..0..0....2..2..2..2..2..2..2..2..2
..0..2..1..0..2..1..0..2..1....1..0..2..1..0..2..1..0..2

Crossrefs

Sequence in context: A065612 A088264 A068557 * A031901 A348160 A320709

Adjacent sequences: A253021 A253022 A253023 * A253025 A253026 A253027

Keyword

nonn

Author

R. H. Hardin, Dec 26 2014

Status

approved