A203407 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 111 in rows and columns.

102, 378, 378, 1260, 2030, 1260, 4374, 9484, 9484, 4374, 14946, 46746, 60232, 46746, 14946, 51384, 225654, 408432, 408432, 225654, 51384, 176238, 1098136, 2699464, 3858082, 2699464, 1098136, 176238, 605022, 5327258, 18021052, 35345798

Offset: 1

Author

R. H. Hardin Jan 01 2012

Keywords

• nonn
• tabl

Comments

Table starts

.....102.......378........1260..........4374...........14946............51384

.....378......2030........9484.........46746..........225654..........1098136

....1260......9484.......60232........408432.........2699464.........18021052

....4374.....46746......408432.......3858082........35345798........327725888

...14946....225654.....2699464......35345798.......446672706.......5723980832

...51384...1098136....18021052.....327725888......5723980832.....101578277384

..176238...5327258...119835492....3024430930.....72950746702....1791372199364

..605022..25875154...798096928...27962750194....931753350314...31670053199428

.2076288.125619088..5312099836..258345914196..11890606324592..559357046066336

.7126302.609970274.35365379640.2387518651034.151793100413822.9883171811276912

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..160

Crossrefs

Column 1 is A060521(n+2)

Column 2 is A060522(n+2)