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

1,2

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

Links

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

Example

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

Crossrefs

Column 2 is 4*A001024(n-1)

Sequence in context: A342817 A107382 A257622 * A203536 A375990 A038788

Adjacent sequences: A185564 A185565 A185566 * A185568 A185569 A185570

Keyword

nonn,tabl

Author

R. H. Hardin Jan 31 2011

Status

approved