A251650 Number of (n+2)X(6+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9

4140, 22904, 74194, 245842, 1563586, 5167050, 17185778, 108553714, 360921738, 1210167730, 7559111602, 25300264746, 85512861490, 527702965490, 1778470746634, 6061036003186, 36927181355506, 125357503584554

Offset

1,1

Comments

Column 6 of A251652

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -3*a(n-2) +44*a(n-3) -390*a(n-4) +222*a(n-5) +1617*a(n-6) -1224*a(n-7) -1223*a(n-8) +1020*a(n-9) -68*a(n-11) for n>15

Example

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

Crossrefs

Sequence in context: A346885 A346828 A346861 * A270772 A320559 A294058

Adjacent sequences: A251647 A251648 A251649 * A251651 A251652 A251653

Keyword

nonn

Author

R. H. Hardin, Dec 06 2014

Status

approved