A253023 Number of (n+2)X(6+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

153, 223, 350, 296, 537, 864, 720, 1256, 1912, 1592, 2688, 4096, 3520, 5968, 9136, 7904, 13384, 20440, 17736, 29904, 45568, 39760, 66800, 101624, 89176, 149328, 226784, 200096, 333928, 506224, 449120, 746944, 1130296, 1008392, 1671344

Offset

1,1

Comments

Column 6 of A253025

Links

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

Formula

Empirical: a(n) = 5*a(n-3) -7*a(n-6) +2*a(n-9) -2*a(n-12) +3*a(n-15) +a(n-18) +a(n-21) for n>27

Example

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

Crossrefs

Sequence in context: A272767 A104810 A352222 * A194660 A348938 A159294

Adjacent sequences: A253020 A253021 A253022 * A253024 A253025 A253026

Keyword

nonn

Author

R. H. Hardin, Dec 26 2014

Status

approved