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A200974
T(n,k)=Number of nXk 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
8
7, 28, 28, 106, 336, 106, 388, 3636, 3636, 388, 1387, 37254, 110854, 37254, 1387, 4874, 368218, 3167295, 3167295, 368218, 4874, 16919, 3543465, 86468392, 250149820, 86468392, 3543465, 16919, 58198, 33420304, 2279060645, 18714498069
OFFSET
1,1
COMMENTS
Table starts
......7.........28...........106............388............1387............4874
.....28........336..........3636..........37254..........368218.........3543465
....106.......3636........110854........3167295........86468392......2279060645
....388......37254.......3167295......250149820.....18714498069...1342587653727
...1387.....368218......86468392....18714498069...3807002935896.738228105542702
...4874....3543465....2279060645..1342587653727.738228105542702
..16919...33420304...58497330607.93360032845673
..58198..310188575.1470248361721
.198807.2842734858
.675372
LINKS
EXAMPLE
Some solutions for n=3 k=3
..0..0..1....0..0..0....0..1..1....0..0..3....0..4..5....0..0..1....1..1..4
..0..0..3....0..0..3....0..1..1....2..2..6....2..4..5....4..4..5....1..5..6
..0..4..4....4..4..4....0..5..4....1..6..6....2..4..5....2..3..3....2..6..5
CROSSREFS
Column 1 is A200762
Sequence in context: A152578 A300529 A299468 * A184331 A267432 A155712
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 25 2011
STATUS
approved