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A223625
T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal
10
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
OFFSET
1,1
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 24 2013
STATUS
approved