A185567 T(n,k)=1/4 the number of nXk 0..3 arrays with no element equal both to the element above and to the element to its left.

1, 4, 4, 16, 60, 16, 64, 900, 900, 64, 256, 13500, 50580, 13500, 256, 1024, 202500, 2842560, 2842560, 202500, 1024, 4096, 3037500, 159749820, 598507920, 159749820, 3037500, 4096, 16384, 45562500, 8977824540, 126017211780, 126017211780

Offset: 1

Author

R. H. Hardin Jan 31 2011

Keywords

• nonn
• tabl

Comments

Table starts

.....1.........4.............16..................64.....................256

.....4........60............900...............13500..................202500

....16.......900..........50580.............2842560...............159749820

....64.....13500........2842560...........598507920............126017211780

...256....202500......159749820........126017211780..........99407416968000

..1024...3037500.....8977824540......26533211918040.......78416544382742160

..4096..45562500...504547256880....5586628402633500....61858104930689319360

.16384.683437500.28355191537860.1176277376648694960.48796145962555619907720

Examples

			Some solutions for 4X3 with a(1,1)=0
..0..2..2....0..0..2....0..0..2....0..0..0....0..0..2....0..0..2....0..0..0
..0..2..0....2..0..2....2..2..0....2..0..2....0..2..0....2..2..3....2..2..1
..1..0..3....1..3..0....3..3..2....1..1..3....2..0..2....3..2..3....3..3..0
..1..2..3....1..0..1....1..3..1....0..3..0....3..3..0....3..3..2....1..3..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..220

Crossrefs

Column 2 is 4*A001024(n-1)