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A223620
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T(n,k) = Number of n X k 0..1 arrays with rows and columns unimodal.
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8
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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
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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....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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..363
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FORMULA
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Empirical: columns k=1..7 are polynomials of degree 2*k.
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EXAMPLE
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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
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CROSSREFS
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Column 1 is A000124.
Column 2 is A086601.
Sequence in context: A227103 A223644 A223637 * A227679 A223782 A223716
Adjacent sequences: A223617 A223618 A223619 * A223621 A223622 A223623
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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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