A185467 T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

16, 34, 34, 92, 92, 92, 218, 240, 240, 218, 540, 672, 866, 672, 540, 1320, 1646, 2766, 2766, 1646, 1320, 3238, 4452, 8762, 13977, 8762, 4452, 3238, 7934, 11050, 27102, 49670, 49670, 27102, 11050, 7934, 19450, 29506, 83688, 231636, 265724, 231636

Offset

1,1

Comments

Table starts

....16.....34......92......218........540........1320.........3238

....34.....92.....240......672.......1646........4452........11050

....92....240.....866.....2766.......8762.......27102........83688

...218....672....2766....13977......49670......231636.......798330

...540...1646....8762....49670.....265724.....1388736......7232746

..1320...4452...27102...231636....1388736....11083678.....63886624

..3238..11050...83688...798330....7232746....63886624....560051658

..7934..29506..258056..3709535...37562322...505270226...4901493530

.19450..74092..795746.12773958..195052754..2903085730..42904166068

.47672.195978.2453840.59358300.1012776710.22962813645.375457091278

Links

R. H. Hardin, Table of n, a(n) for n = 1..684

Example

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

Crossrefs

Sequence in context: A041510 A070590 A132370 * A245664 A091216 A350522

Adjacent sequences: A185464 A185465 A185466 * A185468 A185469 A185470

Keyword

nonn,tabl

Author

R. H. Hardin Jan 28 2011

Status

approved