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

1,2

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

Links

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

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]

Example

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

Crossrefs

Column 1 is A262267(n-1).

Sequence in context: A362262 A248238 A268009 * A360922 A267957 A204978

Adjacent sequences: A263221 A263222 A263223 * A263225 A263226 A263227

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 12 2015

Status

approved