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A201836
T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
8
4, 10, 10, 23, 50, 23, 51, 212, 212, 51, 110, 823, 1629, 823, 110, 233, 3030, 11180, 11180, 3030, 233, 488, 10777, 71501, 135236, 71501, 10777, 488, 1013, 37530, 434721, 1513357, 1513357, 434721, 37530, 1013, 2088, 128742, 2553223, 15948080, 29732625
OFFSET
1,1
COMMENTS
Table starts
....4......10........23...........51............110.............233
...10......50.......212..........823...........3030...........10777
...23.....212......1629........11180..........71501..........434721
...51.....823.....11180.......135236........1513357........15948080
..110....3030.....71501......1513357.......29732625.......550056273
..233...10777....434721.....15948080......550056273.....17998651651
..488...37530...2553223....160648302.....9704449810....561578131760
.1013..128742..14601638...1559706843...164528513926..16796197116664
.2088..437110..81799885..14692678301..2699295015987.485048305371706
.4278.1472736.450682446.134927163853.43085122777927
LINKS
EXAMPLE
Some solutions for n=2 k=7
..0..1..1..1..1..2..3....0..0..1..3..2..2..3....0..0..0..2..2..1..3
..0..1..3..2..2..3..3....1..1..2..3..3..3..3....0..2..1..3..3..3..3
CROSSREFS
Column 1 is A200759
Sequence in context: A202581 A201729 A310337 * A201216 A184277 A264163
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 05 2011
STATUS
approved