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A219802
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T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array
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13
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4, 4, 4, 10, 4, 10, 20, 10, 13, 20, 35, 21, 71, 26, 35, 56, 39, 283, 255, 57, 56, 84, 68, 959, 1605, 958, 116, 84, 120, 114, 2949, 8779, 9817, 3227, 231, 120, 165, 186, 8533, 43246, 91972, 52704, 10448, 450, 165, 220, 297, 23726, 202771, 794035, 840315, 279458
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OFFSET
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1,1
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COMMENTS
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Table starts
...4....4.....10......20.......35........56........84........120.......165
...4....4.....10......21.......39........68.......114........186.......297
..10...13.....71.....283......959......2949......8533......23726.....63982
..20...26....255....1605.....8779.....43246....202771.....925422...4126107
..35...57....958....9817....91972....794035...6627885...54254802.433569009
..56..116...3227...52704...840315..12642165.186308295.2698382566
..84..231..10448..279458..7667972.204182570
.120..450..33171.1485408.69981764
.165..859.104257.7898483
.220.1604.321192
.286.2928
.364
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..0..0....2..0..0..0....3..0..0..0....3..2..0..0....1..1..1..1
..1..0..0..0....2..0..0..0....3..0..0..0....3..2..0..0....1..1..1..1
..2..2..2..3....3..2..2..2....3..2..2..2....3..3..1..1....3..3..3..3
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CROSSREFS
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Column 1 and row 1 are A000292 for n>1
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KEYWORD
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AUTHOR
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STATUS
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approved
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