A262332 T(n,k) = Number of (n+1) X (k+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits.

2, 3, 3, 6, 5, 6, 11, 15, 15, 11, 22, 33, 90, 33, 22, 43, 99, 351, 351, 99, 43, 86, 261, 2106, 2399, 2106, 261, 86, 171, 783, 10935, 26131, 26131, 10935, 783, 171, 342, 2241, 65610, 252097, 570922, 252097, 65610, 2241, 342, 683, 6723, 378351, 2767631, 10789339

Offset: 1

Author

R. H. Hardin, Sep 18 2015

Keywords

• nonn
• tabl

Comments

Table starts

...2.....3........6.........11............22...............43

...3.....5.......15.........33............99..............261

...6....15.......90........351..........2106............10935

..11....33......351.......2399.........26131...........252097

..22....99.....2106......26131........570922.........10789339

..43...261....10935.....252097......10789339........394241389

..86...783....65610....2767631.....237172426......16940254423

.171..2241...378351...29452071....5028462531.....699094613961

.342..6723..2270106..323841891..110616890922...30056993215803

.683.19845.13482855.3532758473.2411745951979.1279198648576981

Examples

			Some solutions for n=4, k=4
..0..0..0..0..0....0..1..1..1..1....1..1..0..1..1....0..0..0..1..1
..1..1..1..1..0....1..1..0..0..0....1..0..1..0..1....1..1..0..1..1
..1..1..1..1..0....1..1..1..1..0....1..0..0..1..0....1..0..0..1..0
..1..1..0..0..0....0..1..0..0..1....1..1..0..0..0....0..0..0..1..1
..1..1..0..0..0....0..0..1..1..0....0..0..1..1..0....0..1..0..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..312

Crossrefs

Column 1 is A005578(n+1).

Formula

Empirical for column k:

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

k=2: a(n) = 3*a(n-1) +3*a(n-2) -9*a(n-3)

k=3: a(n) = 6*a(n-1) +9*a(n-2) -54*a(n-3)

k=4: [order 7]

k=5: [order 11]

k=6: [order 15]

k=7: [order 19]