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A200858
T(n,k)=Number of nXk 0..4 arrays with every row and column running average nondecreasing rightwards and downwards
8
5, 15, 15, 42, 105, 42, 113, 647, 647, 113, 297, 3728, 8535, 3728, 297, 767, 20656, 103528, 103528, 20656, 767, 1957, 111222, 1194898, 2604826, 1194898, 111222, 1957, 4947, 586908, 13295014, 61846403, 61846403, 13295014, 586908, 4947, 12419
OFFSET
1,1
COMMENTS
Table starts
.....5.......15...........42............113.............297..............767
....15......105..........647...........3728...........20656...........111222
....42......647.........8535.........103528.........1194898.........13295014
...113.....3728.......103528........2604826........61846403.......1408572430
...297....20656......1194898.......61846403......3001883019.....139139776965
...767...111222.....13295014.....1408572430....139139776965...13079416454738
..1957...586908....144195756....31197299012...6255225014290.1191594088382132
..4947..3047226...1532754468...676213941385.274516401002582
.12419.15620118..16036647028.14409889137860
.31006.79228317.165590166035
LINKS
EXAMPLE
Some solutions for n=5 k=3
..0..0..0....0..0..0....0..0..0....0..0..1....0..0..0....0..0..0....0..0..0
..0..0..2....0..0..2....0..0..0....0..0..1....0..0..0....0..0..2....0..0..0
..0..0..2....0..1..3....0..3..2....0..2..2....0..0..2....0..3..4....0..3..4
..0..2..4....0..3..2....0..1..4....0..3..3....0..4..4....0..4..4....0..3..4
..3..3..4....0..2..2....3..3..4....0..2..2....0..4..4....0..2..3....1..2..4
CROSSREFS
Column 1 is A200760
Sequence in context: A166621 A330082 A160275 * A184288 A015666 A291627
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 23 2011
STATUS
approved