A252965 Number of (4+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

711, 337, 443, 674, 1027, 1551, 2349, 3759, 5739, 9054, 14527, 22950, 36631, 59821, 95981, 156053, 257097, 419318, 691345, 1147180, 1902055, 3156667, 5310067, 8841609, 14919443, 25060688, 42488593, 71479774, 122136077, 205997611

Offset

1,1

Comments

Row 4 of A252961

Links

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

Formula

Empirical: a(n) = 6*a(n-2) +5*a(n-3) -10*a(n-4) -30*a(n-5) -4*a(n-6) +50*a(n-7) +39*a(n-8) -10*a(n-9) -60*a(n-10) -15*a(n-11) +12*a(n-12) +18*a(n-14) for n>16

Example

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

Crossrefs

Sequence in context: A251290 A232836 A220593 * A187283 A187280 A265197

Adjacent sequences: A252962 A252963 A252964 * A252966 A252967 A252968

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved