A263224 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each row and column divisible by 5, read as a base-3 number with top and left being the most significant digits.

1, 2, 2, 4, 14, 4, 7, 72, 72, 7, 13, 343, 1009, 343, 13, 26, 1920, 12601, 12601, 1920, 26, 52, 11444, 198892, 475539, 198892, 11444, 52, 103, 68112, 3345984, 22342751, 22342751, 3345984, 68112, 103, 205, 405019, 56362801, 1094138875, 3126162435

Offset: 1

Author

R. H. Hardin, Oct 12 2015

Keywords

• nonn
• tabl

Comments

Table starts

...1......2.........4.............7...............13...................26

...2.....14........72...........343.............1920................11444

...4.....72......1009.........12601...........198892..............3345984

...7....343.....12601........475539.........22342751...........1094138875

..13...1920....198892......22342751.......3126162435.........456363243352

..26..11444...3345984....1094138875.....456363243352......199878687706434

..52..68112..56362801...53375395657...66317081173996....87072717791078712

.103.405019.951167305.2607171566653.9651690803653879.37998530090131229539

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Column 1 is A262267(n-1).

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +3*a(n-3) -2*a(n-4)

k=2: [order 16]

k=3: [order 26]

k=4: [order 89]