A253022 Number of (n+2)X(5+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

105, 133, 219, 230, 327, 537, 554, 753, 1193, 1250, 1721, 2747, 2894, 3987, 6343, 6694, 9207, 14609, 15474, 21273, 33681, 35802, 49177, 77675, 82870, 113723, 179191, 191910, 263103, 413537, 444650, 608977, 954721, 1030770, 1410201, 2205003

Offset

1,1

Comments

Column 5 of A253025

Links

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

Formula

Empirical: a(n) = 5*a(n-3) -6*a(n-6) -2*a(n-9) +2*a(n-12) +3*a(n-15) +a(n-18) for n>22

Example

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

Crossrefs

Sequence in context: A325903 A095643 A206265 * A267891 A097217 A115935

Adjacent sequences: A253019 A253020 A253021 * A253023 A253024 A253025

Keyword

nonn

Author

R. H. Hardin, Dec 26 2014

Status

approved