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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 (list; table; graph; refs; listen; history; text; internal format)
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: A130797 A248238 A268009 * A267957 A204978 A204705

Adjacent sequences:  A263221 A263222 A263223 * A263225 A263226 A263227

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 12 2015

STATUS

approved

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Last modified September 21 15:47 EDT 2021. Contains 347598 sequences. (Running on oeis4.)