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

1,1

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

Links

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

Example

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

Crossrefs

Column 1 is A200939

Sequence in context: A298755 A035551 A087573 * A205847 A227967 A292672

Adjacent sequences: A201232 A201233 A201234 * A201236 A201237 A201238

Keyword

nonn,tabl

Author

R. H. Hardin Nov 28 2011

Status

approved