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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)