A209736 T(n,k)=1/4 the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having distinct edge sums.

22, 124, 124, 696, 1096, 696, 3912, 9712, 9712, 3912, 21976, 86744, 137888, 86744, 21976, 123480, 775096, 1995752, 1995752, 775096, 123480, 693752, 6933120, 28927984, 47572464, 28927984, 6933120, 693752, 3897880, 62007896, 420545824

Offset: 1

Author

R. H. Hardin Mar 12 2012

Keywords

• nonn
• tabl

Comments

Table starts

......22.......124.........696...........3912............21976

.....124......1096........9712..........86744...........775096

.....696......9712......137888........1995752.........28927984

....3912.....86744.....1995752.......47572464.......1138541280

...21976....775096....28927984.....1138541280......45147495264

..123480...6933120...420545824....27425792944....1809791149768

..693752..62007896..6111765608...660346502176...72515584004736

.3897880.554698328.88883321584.15926642688032.2914488537817408

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144