A252959 Number of (n+2)X(6+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order

3465, 651, 985, 1551, 2822, 5100, 8767, 16909, 32096, 57282, 113321, 218547, 401170, 797512, 1556859, 2906865, 5807156, 11393142, 21638149, 43233631, 85341470, 163967772, 328165247, 649686165, 1261654624, 2524384498, 5014289697

Offset

1,1

Comments

Column 6 of A252961

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) -2*a(n-3) -5*a(n-4) +15*a(n-5) +53*a(n-6) -145*a(n-7) +120*a(n-8) -44*a(n-9) +25*a(n-10) -21*a(n-11) +6*a(n-12) for n>15

Example

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

Crossrefs

Sequence in context: A235830 A235586 A252967 * A224686 A125017 A307111

Adjacent sequences: A252956 A252957 A252958 * A252960 A252961 A252962

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved