%I #6 Nov 03 2021 17:07:25

%S 2,4,4,7,16,7,11,49,49,11,16,121,240,121,16,22,256,876,876,256,22,29,

%T 484,2582,4466,2582,484,29,37,841,6504,17594,17594,6504,841,37,46,

%U 1369,14547,57238,89630,57238,14547,1369,46,56,2116,29659,160883,367216,367216

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

%C Table starts

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

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

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

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

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

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

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

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

%C .46.2116..56161..921181.10504174..90732638..629671260..3659134776.18350758538

%C .56.3136.100123.1951247.26169386.263650284.2118764468.14165886974.81249849522

%H R. H. Hardin, <a href="/A223620/b223620.txt">Table of n, a(n) for n = 1..363</a>

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

%e Some solutions for n=4 k=4

%e ..1..0..0..0....1..0..0..0....0..1..0..0....1..0..0..0....1..1..0..0

%e ..0..1..1..1....1..1..0..0....1..1..0..0....1..0..0..0....1..1..0..0

%e ..0..0..1..0....1..0..0..0....1..1..0..0....0..1..1..1....0..0..0..1

%e ..0..0..0..0....0..0..1..1....1..1..1..1....0..0..0..0....0..0..0..0

%Y Column 1 is A000124.

%Y Column 2 is A086601.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Mar 24 2013