A268073 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order.

1, 2, 2, 4, 15, 4, 12, 159, 159, 12, 39, 2191, 7445, 2191, 39, 138, 30295, 381958, 381958, 30295, 138, 499, 421471, 18691624, 70985206, 18691624, 421471, 499, 1830, 5797959, 911680225, 12341773443, 12341773443, 911680225, 5797959, 1830, 6723, 79367143

Offset: 1

Author

R. H. Hardin, Jan 25 2016

Keywords

• nonn
• tabl

Comments

Table starts

....1........2.............4..............12...............39..............138

....2.......15...........159............2191............30295...........421471

....4......159..........7445..........381958.........18691624........911680225

...12.....2191........381958........70985206......12341773443....2135811945390

...39....30295......18691624.....12341773443....7496016439865.4526538615127374

..138...421471.....911680225...2135811945390.4526538615127374

..499..5797959...43653230106.360625109847257

.1830.79367143.2074179818184

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..60

Crossrefs

Column 3 is A268007.

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) -3*a(n-2) -30*a(n-3) +28*a(n-4) +36*a(n-5) -36*a(n-6) for n>8

k=2: [order 11] for n>13

k=3: [order 75]