A252806 Number of (n+2)X(3+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

357, 488, 1337, 551, 2068, 6961, 2891, 10687, 35835, 15328, 56023, 186554, 81798, 294256, 971782, 438093, 1549042, 5068959, 2354313, 8172677, 26476065, 12695662, 43221349, 138494624, 68704164, 229160414, 725637116, 373152371, 1218327968

Offset

1,1

Comments

Column 3 of A252811

Links

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

Formula

Empirical: a(n) = a(n-1) +11*a(n-3) -11*a(n-4) -30*a(n-6) +30*a(n-7) -2*a(n-9) +2*a(n-10) +7*a(n-12) -7*a(n-13) -a(n-15) +a(n-16) for n>19

Example

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

Crossrefs

Sequence in context: A277765 A357775 A052479 * A252027 A241931 A166916

Adjacent sequences: A252803 A252804 A252805 * A252807 A252808 A252809

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved