A223625 T(n,k)=Number of nXk 0..1 arrays with row sums nondecreasing and column sums unimodal

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

R. H. Hardin, Table of n, a(n) for n = 1..97

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

Adjacent sequences: A223622 A223623 A223624 * A223626 A223627 A223628

Keyword

nonn,tabl

Author

R. H. Hardin Mar 24 2013

Status

approved