A223637 T(n,k)=Number of nXk 0..1 arrays with rows, antidiagonals and columns unimodal.

2, 4, 4, 7, 16, 7, 11, 49, 49, 11, 16, 121, 229, 121, 16, 22, 256, 801, 801, 256, 22, 29, 484, 2297, 3712, 2297, 484, 29, 37, 841, 5699, 13599, 13599, 5699, 841, 37, 46, 1369, 12657, 42109, 61545, 42109, 12657, 1369, 46, 56, 2116, 25753, 114713, 230619, 230619

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...229.....801.....2297......5699.....12657......25753.......48811

.11..121...801....3712....13599.....42109....114713.....282273......639165

.16..256..2297...13599....61545....230619....748950....2171533.....5738616

.22..484..5699...42109...230619...1026377...3907140...13135511....39889555

.29..841.12657..114713...748950...3907140..17224974...66448428...229624238

.37.1369.25753..282273..2171533..13135511..66448428..291563806..1138171082

.46.2116.48811..639165..5738616..39889555.229624238.1138171082..4984273228

.56.3136.87253.1350228.14032520.111242770.723456027.4024198094.19665608377

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..263

Crossrefs

Column 1 is A000124

Column 2 is A086601

Formula

Columns k=1..7 are polynomial of degree 2*k for n > 0,0,0,2,8,12