A183433 T(n,k)=One third the number of nXk 0..3 arrays with no element equal to its row sum plus its column sum mod 4

1, 4, 4, 16, 27, 16, 64, 244, 244, 64, 256, 2187, 7344, 2187, 256, 1024, 19684, 178608, 178608, 19684, 1024, 4096, 177147, 4969216, 14348907, 4969216, 177147, 4096, 16384, 1594324, 131801024, 1162613824, 1162613824, 131801024, 1594324, 16384

Offset

1,2

Comments

Table starts

.....1.......4........16.........64........256......1024.......4096....16384

.....4......27.......244.......2187......19684....177147....1594324.14348907

....16.....244......7344.....178608....4969216.131801024.3605232384

....64....2187....178608...14348907.1162613824

...256...19684...4969216.1162613824

..1024..177147.131801024

..4096.1594324

.16384

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

Some solutions for 4X3
..0..2..0....2..0..2....0..0..2....2..2..1....0..2..2....0..2..2....0..0..1
..2..0..1....0..1..2....2..2..0....0..1..0....1..3..1....0..3..1....2..2..0
..3..0..1....2..0..0....2..3..3....3..2..3....0..0..2....2..0..2....1..1..3
..3..1..1....3..2..1....1..3..1....3..2..1....2..0..0....3..0..2....2..2..3

Crossrefs

Sequence in context: A065732 A092959 A330054 * A322039 A158101 A038234

Adjacent sequences: A183430 A183431 A183432 * A183434 A183435 A183436

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved