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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.
8
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 12 2015
STATUS
approved