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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. 8
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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

LINKS

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

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]

EXAMPLE

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

CROSSREFS

Column 1 is A005578(n+1).

Sequence in context: A014498 A186286 A023821 * A262240 A333660 A187754

Adjacent sequences:  A262329 A262330 A262331 * A262333 A262334 A262335

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 18 2015

STATUS

approved

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Last modified August 16 13:16 EDT 2022. Contains 356168 sequences. (Running on oeis4.)