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A223617
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Number of n X 5 0..1 arrays with rows and columns unimodal.
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1
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16, 256, 2582, 17594, 89630, 367216, 1271969, 3857481, 10504174, 26169386, 60506898, 131289614, 269716032, 528358366, 992720569, 1797620937, 3149899316, 5359276060, 8879561670, 14362835354, 22729680458, 35259087700, 53702216265
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OFFSET
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1,1
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COMMENTS
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Column 5 of A223620.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = (359/453600)*n^10 + (251/30240)*n^9 + (3817/60480)*n^8 + (73/280)*n^7 + (1127/1350)*n^6 + (485/288)*n^5 + (532219/181440)*n^4 + (25699/7560)*n^3 + (30811/8400)*n^2 + (451/210)*n + 1.
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EXAMPLE
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Some solutions for n=4
..1..1..1..1..1....1..1..1..0..0....1..1..0..0..0....0..1..1..1..1
..0..1..1..1..1....0..1..1..1..0....0..0..0..1..0....0..1..1..1..0
..0..0..0..0..0....0..0..1..1..0....0..0..0..1..1....1..1..1..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..1..1..1....1..1..1..0..0
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CROSSREFS
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Cf. A223620.
Sequence in context: A189112 A181215 A223666 * A174335 A297377 A283860
Adjacent sequences: A223614 A223615 A223616 * A223618 A223619 A223620
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KEYWORD
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nonn
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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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