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A219939
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T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array
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14
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4, 4, 10, 10, 23, 20, 20, 64, 76, 35, 35, 196, 368, 208, 56, 56, 459, 2070, 2030, 519, 84, 84, 918, 8523, 21512, 10791, 1212, 120, 120, 1660, 30558, 173951, 224794, 53712, 2670, 165, 165, 2802, 100761, 1301292, 3773045, 2225355, 248881, 5574, 220, 220
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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
..10....23......64.......196........459........918......1660........2802
..20....76.....368......2070.......8523......30558....100761......313108
..35...208....2030.....21512.....173951....1301292...9073439....59354249
..56...519...10791....224794....3773045...59049705.871084602.12058384658
..84..1212...53712...2225355...78522914.2574187888
.120..2670..248881..20434119.1523159314
.165..5574.1078041.175334420
.220.11076.4392080
.286.21043
.364
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..2..2..0..1....1..1..1..1....2..2..0..1....2..0..0..0....2..1..1..2
..2..2..0..0....2..2..0..1....3..2..0..0....1..1..0..0....3..1..1..1
..3..3..2..2....3..2..0..0....3..3..2..2....1..1..0..0....3..2..1..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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