A207123 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 14, 81, 102, 81, 12, 21, 196, 288, 289, 144, 16, 31, 441, 896, 1024, 612, 256, 20, 46, 961, 2499, 4096, 2560, 1296, 400, 25, 68, 2116, 6634, 14161, 12288, 6400, 2340, 625, 30, 100, 4624, 17848, 45796, 49861, 36864, 13200, 4225, 900

Offset: 1

Author

R. H. Hardin Feb 15 2012

Keywords

• nonn
• tabl

Comments

Table starts

..2...4....6.....9.....14......21......31.......46........68........100

..4..16...36....81....196.....441.....961.....2116......4624......10000

..6..36..102...288....896....2499....6634....17848.....47192.....122200

..9..81..289..1024...4096...14161...45796...150544....481636....1493284

.12.144..612..2560..12288...49861..186822...712756...2628872....9322638

.16.256.1296..6400..36864..175561..762129..3374569..14348944...58201641

.20.400.2340.13200..87744..475984.2330037.11635558..55554808..251535759

.25.625.4225.27225.208849.1290496.7123561.40119556.215091556.1087086841

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..545

Crossrefs

Column 1 is A002620(n+2)

Column 2 is A030179(n+2)

Row 1 is A038718(n+2)

Row 2 is A207069

Row 3 is A207070