A186786 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

0, 580, 580, 2366, 11354, 2366, 22236, 63504, 63504, 22236, 118616, 739334, 696596, 739334, 118616, 891506, 8499038, 17120960, 17120960, 8499038, 891506, 5489048, 97501656, 281080458, 658080772, 281080458, 97501656, 5489048, 38326452

Offset

1,2

Comments

Table starts

.......0......580......2366.....22236....118616.....891506....5489048.38326452

.....580....11354.....63504....739334...8499038...97501656.1029483706

....2366....63504....696596..17120960.281080458.5705992444

...22236...739334..17120960.658080772

..118616..8499038.281080458

..891506.97501656

.5489048

Links

R. H. Hardin, Table of n, a(n) for n = 1..31

Example

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

Crossrefs

Column 1 is A185605

Sequence in context: A250727 A252985 A097769 * A185609 A127694 A185605

Adjacent sequences: A186783 A186784 A186785 * A186787 A186788 A186789

Keyword

nonn,tabl

Author

R. H. Hardin Feb 26 2011

Status

approved