A252010 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8

1110, 1406, 1434, 2170, 4770, 8930, 14450, 33530, 63546, 103410, 245210, 469018, 766066, 1846586, 3555450, 5822514, 14197274, 27460186, 45050098, 110701178, 214764474, 352750770, 871224410, 1693530778, 2783756146, 6897870266

Offset

1,1

Comments

Column 3 of A252015

Links

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

Formula

Empirical: a(n) = a(n-1) +13*a(n-3) -13*a(n-4) -40*a(n-6) +40*a(n-7) for n>14

Example

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

Crossrefs

Sequence in context: A234156 A066163 A336172 * A036105 A036103 A147589

Adjacent sequences: A252007 A252008 A252009 * A252011 A252012 A252013

Keyword

nonn

Author

R. H. Hardin, Dec 12 2014

Status

approved