A252807 Number of (n+2) X (4+2) 0..4 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.

752, 369, 551, 742, 1625, 2795, 3763, 8275, 14320, 19355, 42636, 73806, 99746, 219780, 380509, 514272, 1133211, 1961985, 2651701, 5843149, 10116582, 13672981, 30129126, 52164340, 70502284, 155355518, 268976251, 363532650, 801063517

Offset

1,1

Comments

Column 4 of A252811.

Links

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

Formula

Empirical: a(n) = 6*a(n-3) -4*a(n-6) -2*a(n-9) +a(n-12) for n>15.

Example

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

Crossrefs

Cf. A252811.

Sequence in context: A373206 A020391 A355318 * A332000 A223447 A200211

Adjacent sequences: A252804 A252805 A252806 * A252808 A252809 A252810

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved