A251649 Number of (n+2)X(5+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9

2382, 10248, 31022, 98306, 482506, 1563586, 5248890, 25151338, 86588602, 309874186, 1436889898, 5253854634, 19877542282, 89455192554, 344043647178, 1357743586282, 5972706277354, 23836807829578, 96793244877322

Offset

1,1

Comments

Column 5 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) +18*a(n-3) -234*a(n-4) +144*a(n-5) +993*a(n-6) -756*a(n-7) -755*a(n-8) +630*a(n-9) -42*a(n-11) for n>14

Example

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

Crossrefs

Sequence in context: A234818 A107530 A020394 * A218849 A254562 A186867

Adjacent sequences: A251646 A251647 A251648 * A251650 A251651 A251652

Keyword

nonn

Author

R. H. Hardin, Dec 06 2014

Status

approved