A201235 T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

4, 6, 6, 7, 2, 7, 3, 34, 34, 3, 17, 24, 114, 24, 17, 40, 306, 140, 140, 306, 40, 46, 152, 2462, 1028, 2462, 152, 46, 21, 2697, 18056, 7791, 7791, 18056, 2697, 21, 135, 1709, 62133, 66027, 420662, 66027, 62133, 1709, 135, 342, 26353, 82861, 508368, 8499558

Offset: 1

Author

R. H. Hardin Nov 28 2011

Keywords

• nonn
• tabl

Comments

Table starts

...4.....6........7.........3...........17............40............46

...6.....2.......34........24..........306...........152..........2697

...7....34......114.......140.........2462.........18056.........62133

...3....24......140......1028.........7791.........66027........508368

..17...306.....2462......7791.......420662.......8499558......77620598

..40...152....18056.....66027......8499558......33222962....4442977704

..46..2697....62133....508368.....77620598....4442977704..112920979339

..21..1709....82861...4293464....263388703...17052604235.1076710643794

.135.26353..1593643..33177954..14079281158.2254057282528

.342.14274.11978376.282310785.283246971698

Examples

			Some solutions for n=3 k=7
..0..0..0..1..2..1..3....0..0..0..1..2..1..3....0..0..0..0..0..1..1
..0..0..1..1..2..2..3....0..1..1..1..2..2..3....0..2..1..3..3..3..2
..0..1..2..3..2..3..3....0..3..3..2..2..3..3....1..1..2..3..2..3..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..111

Crossrefs

Column 1 is A200939