A223620 T(n,k) = Number of n X k 0..1 arrays with rows and columns unimodal.

2, 4, 4, 7, 16, 7, 11, 49, 49, 11, 16, 121, 240, 121, 16, 22, 256, 876, 876, 256, 22, 29, 484, 2582, 4466, 2582, 484, 29, 37, 841, 6504, 17594, 17594, 6504, 841, 37, 46, 1369, 14547, 57238, 89630, 57238, 14547, 1369, 46, 56, 2116, 29659, 160883, 367216, 367216

Offset: 1

Author

R. H. Hardin, Mar 24 2013

Keywords

• nonn
• tabl

Comments

Table starts

..2....4......7......11.......16........22.........29..........37..........46

..4...16.....49.....121......256.......484........841........1369........2116

..7...49....240.....876.....2582......6504......14547.......29659.......56161

.11..121....876....4466....17594.....57238.....160883......403159......921181

.16..256...2582...17594....89630....367216....1271969.....3857481....10504174

.22..484...6504...57238...367216...1856100....7795951....28248007....90732638

.29..841..14547..160883..1271969...7795951...39162020...167679972...629671260

.37.1369..29659..403159..3857481..28248007..167679972...840122330..3659134776

.46.2116..56161..921181.10504174..90732638..629671260..3659134776.18350758538

.56.3136.100123.1951247.26169386.263650284.2118764468.14165886974.81249849522

Examples

			Some solutions for n=4 k=4
..1..0..0..0....1..0..0..0....0..1..0..0....1..0..0..0....1..1..0..0
..0..1..1..1....1..1..0..0....1..1..0..0....1..0..0..0....1..1..0..0
..0..0..1..0....1..0..0..0....1..1..0..0....0..1..1..1....0..0..0..1
..0..0..0..0....0..0..1..1....1..1..1..1....0..0..0..0....0..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..363

Crossrefs

Column 1 is A000124.

Column 2 is A086601.

Formula

Empirical: columns k=1..7 are polynomials of degree 2*k.