A185609 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

0, 580, 580, 2366, 11354, 2366, 22236, 172026, 172026, 22236, 118616, 3017724, 4473352, 3017724, 118616, 891506, 50646550, 173403770, 173403770, 50646550, 891506, 5489048, 873299900, 5539941616, 15211806726, 5539941616, 873299900

Offset

1,2

Comments

Table starts

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

......580.......11354.......172026.......3017724......50646550....873299900

.....2366......172026......4473352.....173403770....5539941616.195867482580

....22236.....3017724....173403770...15211806726.1112996493332

...118616....50646550...5539941616.1112996493332

...891506...873299900.195867482580

..5489048.14968118872

.38326452

Links

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

Example

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

Crossrefs

Sequence in context: A252985 A097769 A186786 * A127694 A185605 A186784

Adjacent sequences: A185606 A185607 A185608 * A185610 A185611 A185612

Keyword

nonn,tabl

Author

R. H. Hardin Jan 31 2011

Status

approved