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A220032
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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..1 nXk array
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10
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2, 2, 3, 3, 4, 4, 4, 6, 6, 5, 5, 9, 10, 8, 6, 6, 12, 19, 15, 10, 7, 7, 15, 30, 34, 21, 12, 8, 8, 18, 42, 61, 55, 28, 14, 9, 9, 21, 55, 95, 111, 83, 36, 16, 10, 10, 24, 69, 137, 192, 187, 119, 45, 18, 11, 11, 27, 84, 187, 302, 358, 297, 164, 55, 20, 12, 12, 30, 100, 246, 442, 613, 626
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OFFSET
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1,1
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COMMENTS
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Table starts
..2..2..3...4....5....6.....7.....8.....9....10....11....12....13....14...15
..3..4..6...9...12...15....18....21....24....27....30....33....36....39...42
..4..6.10..19...30...42....55....69....84...100...117...135...154...174..195
..5..8.15..34...61...95...137...187...246...315...395...487...592...711..845
..6.10.21..55..111..192...302...442...618...838..1111..1447..1857..2353.2948
..7.12.28..83..187..358...613...962..1426..2034..2823..3839..5137..6782.8850
..8.14.36.119..297..626..1165..1963..3088..4630..6711..9492.13175.18010
..9.16.45.164..450.1038..2094..3789..6334..9995.15133.22239.31956
.10.18.55.219..656.1646..3587..6962.12375.20581.32588
.11.20.66.285..926.2513..5893.12243.23132.40583
.12.22.78.363.1272.3714..9335.20705.41537
.13.24.91.454.1707.5337.14323.33819
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..0....1..0..0..0....1..0..0..0....0..0..0..0....1..0..0..0
..0..0..0..0....1..1..0..0....1..0..0..0....1..1..0..0....1..1..1..0
..1..1..0..0....1..1..0..0....1..0..0..0....1..1..1..1....1..1..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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