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A223637
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T(n,k)=Number of nXk 0..1 arrays with rows, antidiagonals and columns unimodal
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7
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..263
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FORMULA
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Columns k=1..7 are polynomial of degree 2*k for n > 0,0,0,2,8,12
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EXAMPLE
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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
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CROSSREFS
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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
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Mar 24 2013
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STATUS
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approved
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