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A220044
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T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, 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, 10, 10, 13, 20, 20, 25, 59, 35, 35, 50, 184, 181, 56, 56, 90, 848, 927, 469, 84, 84, 152, 2902, 8337, 4415, 1107, 120, 120, 249, 9055, 53266, 74547, 19083, 2447, 165, 165, 397, 26963, 313386, 904715, 595862, 79295, 5120, 220, 220, 618, 76874, 1746346
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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
..10....13......25.......50........90.......152.......249........397......618
..20....59.....184......848......2902......9055.....26963......76874...211179
..35...181.....927.....8337.....53266....313386...1746346....9367123.48895966
..56...469....4415....74547....904715..10478150.115306521.1239077832
..84..1107...19083...595862..13639469.310371126
.120..2447...79295..4640546.201839765
.165..5120..321566.35547836
.220.10197.1259568
.286.19415
.364
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..71
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EXAMPLE
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Some solutions for n=3 k=4
..2..0..0..0....2..1..0..0....0..0..0..0....2..2..2..2....2..2..0..1
..2..0..0..0....2..1..0..0....0..0..0..0....2..2..1..2....2..1..0..0
..3..2..0..0....2..1..0..1....3..2..2..3....3..2..1..1....2..1..0..0
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CROSSREFS
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Column 1 is A000292(n+1)
Column 2 is A219572
Row 1 is A000292 for n>1
Sequence in context: A078910 A196051 A140234 * A219828 A219714 A167132
Adjacent sequences: A220041 A220042 A220043 * A220045 A220046 A220047
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Dec 03 2012
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STATUS
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approved
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