A252967 Number of (6+2)X(n+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

3461, 1186, 1681, 2201, 3315, 5100, 6855, 10888, 16745, 24270, 38635, 61564, 92665, 151163, 244971, 384029, 637145, 1047568, 1703415, 2841480, 4783985, 7873606, 13425939, 22559724, 38253177, 64736779, 111363563, 187737521, 324817225

Offset

1,1

Comments

Row 6 of A252961

Links

R. H. Hardin, Table of n, a(n) for n = 1..157

Formula

Empirical: a(n) = a(n-1) +6*a(n-2) -a(n-3) -15*a(n-4) -20*a(n-5) +26*a(n-6) +54*a(n-7) -12*a(n-8) -48*a(n-9) -48*a(n-10) +48*a(n-11) +25*a(n-12) -25*a(n-13) +22*a(n-14) -27*a(n-15) +27*a(n-16) -12*a(n-17) +18*a(n-18) -18*a(n-19) for n>21

Example

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

Crossrefs

Sequence in context: A235835 A235830 A235586 * A252959 A224686 A125017

Adjacent sequences: A252964 A252965 A252966 * A252968 A252969 A252970

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved