A183429 T(n,k)=Half the number of nXk 0..2 arrays with no element equal its row sum plus its column sum mod 3

1, 3, 3, 9, 9, 9, 27, 32, 32, 27, 81, 129, 256, 129, 81, 243, 513, 2097, 2097, 513, 243, 729, 2048, 16384, 62694, 16384, 2048, 729, 2187, 8193, 131072, 568053, 568053, 131072, 8193, 2187, 6561, 32769, 1048959, 9465579, 16777215, 9465579, 1048959, 32769

Offset

1,2

Comments

Table starts

.....1......3.......9........27........81.......243.......729.......2187

.....3......9......32.......129.......513......2048......8193......32769

.....9.....32.....256......2097.....16384....131072...1048959....8388608

....27....129....2097.....62694....568053...9465579.153369936.2690956971

....81....513...16384....568053..16777215.536870912

...243...2048..131072...9465579.536870912

...729...8193.1048959.153369936

..2187..32769.8388608

..6561.131072

.19683

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

Some solutions for 5X4
..0..0..2..1....0..0..1..0....0..0..0..0....0..0..0..2....0..0..2..1
..0..0..2..1....1..0..0..2....0..2..2..0....2..0..1..0....2..0..1..0
..0..1..1..0....0..0..1..0....2..0..1..0....1..0..0..2....0..1..2..0
..0..1..0..1....1..2..0..2....1..2..1..0....0..2..1..1....2..0..0..0
..2..2..1..0....1..2..0..0....1..1..1..1....0..0..0..2....0..1..1..1

Crossrefs

Sequence in context: A349673 A064235 A098355 * A107443 A204099 A062234

Adjacent sequences: A183426 A183427 A183428 * A183430 A183431 A183432

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved