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

1,1

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

Links

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

Formula

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

Example

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

Crossrefs

Column 1 is A000124

Column 2 is A086601

Sequence in context: A240338 A227103 A223644 * A223620 A227679 A223782

Adjacent sequences: A223634 A223635 A223636 * A223638 A223639 A223640

Keyword

nonn,tabl

Author

R. H. Hardin Mar 24 2013

Status

approved