A251651 Number of (n+2)X(7+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9

6978, 49956, 163318, 610082, 5248890, 17185778, 63447690, 562400186, 1826236602, 6707952986, 60713749434, 196015117610, 717238558554, 6591100286714, 21191371865802, 77327675043578, 718376458646010, 2302904073545738

Offset

1,1

Comments

Column 7 of A251652

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +3*a(n-2) +101*a(n-3) -438*a(n-4) -329*a(n-5) +990*a(n-6) -220*a(n-7) -110*a(n-8) for n>13

Example

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

Crossrefs

Sequence in context: A050225 A305718 A237237 * A050673 A050663 A114615

Adjacent sequences: A251648 A251649 A251650 * A251652 A251653 A251654

Keyword

nonn

Author

R. H. Hardin, Dec 06 2014

Status

approved