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A224064
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T(n,k)=Number of nXk 0..3 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing
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7
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4, 16, 16, 50, 160, 50, 130, 984, 984, 130, 296, 4580, 8854, 4580, 296, 610, 17723, 58814, 58814, 17723, 610, 1163, 59792, 324702, 506513, 324702, 59792, 1163, 2083, 180821, 1557606, 3509115, 3509115, 1557606, 180821, 2083, 3544, 499357, 6643979
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OFFSET
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1,1
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COMMENTS
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Table starts
....4......16........50.........130..........296..........610.........1163
...16.....160.......984........4580........17723........59792.......180821
...50.....984......8854.......58814.......324702......1557606......6643979
..130....4580.....58814......506513......3509115.....21167501....114643788
..296...17723....324702.....3509115.....28682690....200974242...1274747540
..610...59792...1557606....21167501....200974242...1573171210..11060805360
.1163..180821...6643979...114643788...1274747540..11060805360..83942450048
.2083..499357..25596389...564290412...7460451193..72498474377.591725806925
.3544.1276595..90177585..2542634801..40485099654.448019196499
.5776.3053471.293585050.10557558941.203984697906
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..112
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FORMULA
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Empirical: columns k=1..5 are polynomials of degree 6*k for n>0,0,3,7,11
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EXAMPLE
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Some solutions for n=3 k=4
..1..2..2..1....0..0..1..1....0..0..2..2....0..1..0..0....0..1..1..0
..0..2..2..2....0..1..1..1....0..0..2..2....0..2..1..0....0..1..2..2
..0..3..3..2....0..1..1..1....0..0..1..3....1..2..3..1....0..1..2..2
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CROSSREFS
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Column 1 is A223659
Sequence in context: A223406 A075382 A203252 * A224050 A224281 A224204
Adjacent sequences: A224061 A224062 A224063 * A224065 A224066 A224067
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Mar 30 2013
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STATUS
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approved
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