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A224188
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Number of n X 6 0..2 arrays with rows unimodal and columns nondecreasing.
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1
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148, 4102, 52591, 422488, 2469182, 11444292, 44435746, 150015321, 452158538, 1240740774, 3145970477, 7456438392, 16672410340, 35430409240, 71995370532, 140596619273, 264988109400, 483746928198, 857992826459, 1482422036736
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OFFSET
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1,1
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COMMENTS
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Column 6 of A224190.
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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) = (761/8553600)*n^12 + (811/302400)*n^11 + (98797/2721600)*n^10 + (105751/362880)*n^9 + (2800757/1814400)*n^8 + (429167/75600)*n^7 + (1442737/97200)*n^6 + (373033/13440)*n^5 + (100027061/2721600)*n^4 + (15191569/453600)*n^3 + (16485617/831600)*n^2 + (4273/630)*n + 1.
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EXAMPLE
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Some solutions for n=3:
..0..0..1..1..1..0....0..1..1..0..0..0....0..2..2..1..1..0....0..1..1..1..0..0
..0..1..1..1..2..1....0..1..1..2..0..0....0..2..2..2..1..0....1..1..2..2..2..0
..0..1..1..1..2..2....0..2..2..2..2..0....2..2..2..2..2..0....2..2..2..2..2..0
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CROSSREFS
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Sequence in context: A338970 A224260 A223916 * A223931 A224055 A224308
Adjacent sequences: A224185 A224186 A224187 * A224189 A224190 A224191
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Apr 01 2013
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STATUS
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approved
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