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A224261
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Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing
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1
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239, 9503, 119367, 850875, 4542734, 20568693, 83124099, 306179180, 1038489172, 3266157979, 9583669559, 26387428383, 68551067596, 168889679757, 396460357949, 890533215416, 1921389717480, 3995624313351, 8033215042947, 15657425192703
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OFFSET
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1,1
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COMMENTS
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Column 7 of A224262
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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) = (118519/21794572800)*n^14 + (2257/124540416)*n^13 + (11489/13305600)*n^12 + (227251/47900160)*n^11 + (39637/777600)*n^10 + (458077/1451520)*n^9 + (169757921/76204800)*n^8 + (6354631/870912)*n^7 + (526598447/7257600)*n^6 + (85059797/2177280)*n^5 + (6141145069/8553600)*n^4 - (2165544719/1995840)*n^3 - (174076430267/75675600)*n^2 - (921446093/36036)*n + 109916 for n>8
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EXAMPLE
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Some solutions for n=3
..0..0..2..2..1..0..0....0..0..1..1..0..0..0....0..1..1..1..1..2..1
..1..2..2..2..2..1..0....0..1..1..1..1..1..0....1..2..2..2..2..2..2
..2..2..2..2..2..2..1....2..2..2..2..2..2..1....1..2..2..2..2..2..2
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CROSSREFS
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Sequence in context: A065750 A201045 A056095 * A223917 A224189 A223932
Adjacent sequences: A224258 A224259 A224260 * A224262 A224263 A224264
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Apr 02 2013
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STATUS
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approved
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