A206010 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one, and every 2X2 determinant nonzero

24, 78, 78, 228, 300, 228, 722, 980, 980, 722, 2136, 3706, 2728, 3706, 2136, 6688, 12304, 12068, 12068, 12304, 6688, 19976, 45810, 33572, 64224, 33572, 45810, 19976, 62048, 154346, 150396, 211824, 211824, 150396, 154346, 62048, 186560, 567112

Offset

1,1

Comments

Table starts

....24.....78.....228......722.....2136......6688......19976.......62048

....78....300.....980.....3706....12304.....45810.....154346......567112

...228....980....2728....12068....33572....150396.....419108.....1895206

...722...3706...12068....64224...211824...1159120....3850160....21563332

..2136..12304...33572...211824...566288...3844878...10015204....72882376

..6688..45810..150396..1159120..3844878..32546974..107546742...986871314

.19976.154346..419108..3850160.10015204.107546742..262845336..3293852332

.62048.567112.1895206.21563332.72882376.986871314.3293852332.51670233144

Links

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

Example

Some solutions for n=4 k=3
..1..0..1..1....1..1..1..0....1..2..1..1....0..1..0..2....2..2..2..1
..1..1..1..2....1..2..1..2....1..1..1..0....1..1..1..1....1..2..1..1
..2..1..2..2....2..2..2..2....1..2..1..2....2..1..2..0....1..1..1..0
..2..2..2..1....1..2..0..2....1..1..1..1....2..2..2..2....0..1..2..2
..2..0..1..1....2..2..2..2....0..1..2..0....0..1..2..1....1..1..1..2

Crossrefs

Sequence in context: A048352 A144459 A290710 * A124140 A206003 A143839

Adjacent sequences: A206007 A206008 A206009 * A206011 A206012 A206013

Keyword

nonn,tabl

Author

R. H. Hardin Feb 02 2012

Status

approved