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A223625
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T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal
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10
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2, 4, 3, 7, 11, 4, 11, 35, 26, 5, 16, 98, 147, 57, 6, 22, 260, 751, 574, 120, 7, 29, 643, 3560, 5303, 2114, 247, 8, 37, 1563, 15778, 45580, 35413, 7504, 502, 9, 46, 3631, 67030, 371569, 557432, 228401, 26050, 1013, 10, 56, 8407, 274631, 2888847, 8313608
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OFFSET
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1,1
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COMMENTS
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Table starts
..2....4......7........11.........16..........22...........29...........37
..3...11.....35........98........260.........643.........1563.........3631
..4...26....147.......751.......3560.......15778........67030.......274631
..5...57....574......5303......45580......371569......2888847.....21682470
..6..120...2114.....35413.....557432.....8313608....119085643...1641434223
..7..247...7504....228401....6555965...180713080...4777458798.122344224851
..8..502..26050...1437511...75329449..3825884676.187876185946
..9.1013..88627...8898472..847768800.79714938310
.10.2036.296989..54437857.9404270528
.11.4083.985303.330381980
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..97
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..0....0..1..0..0....1..0..0..0....1..1..0..0....0..0..0..0
..0..1..1..0....0..1..1..0....0..0..1..0....1..1..1..1....0..1..1..0
..0..1..1..0....0..1..0..1....0..1..0..0....1..1..1..1....1..1..1..1
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CROSSREFS
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Column 1 is A000027(n+1)
Column 2 is A000295(n+2)
Row 1 is A000124
Sequence in context: A177877 A090568 A329877 * A166017 A257504 A207625
Adjacent sequences: A223622 A223623 A223624 * A223626 A223627 A223628
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Mar 24 2013
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STATUS
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approved
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