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A223864
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T(n,k)=Number of nXk 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing
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13
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4, 16, 10, 50, 100, 20, 130, 684, 400, 35, 296, 3526, 4884, 1225, 56, 610, 14751, 41682, 24199, 3136, 84, 1163, 52591, 273959, 315124, 93731, 7056, 120, 2083, 165212, 1477240, 3017129, 1771012, 303560, 14400, 165, 3544, 468292, 6818350, 22852913
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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
..10...100......684......3526.......14751.........52591.........165212
..20...400.....4884.....41682......273959.......1477240........6818350
..35..1225....24199....315124.....3017129......22852913......144081276
..56..3136....93731...1771012....23738426.....243933798.....2030417942
..84..7056...303560...8008548...145947740....1989679315....21476594002
.120.14400...857696..30627033...740441932...13140481520...181330154458
.165.27225..2175884.102479569..3217594840...73068868012..1271807435844
.220.48400..5058530.307435001.12305144319..352040804450..7630189031428
.286.81796.10940664.842078930.42270004211.1502130487437.40055722078772
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LINKS
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FORMULA
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Empirical: columns k=1..7 are polynomials of degree 3*k for n>0,0,0,1,2,4,6
Empirical: rows n=1..7 are polynomials of degree 6*n
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..0..0....0..2..1..1....0..1..3..2....0..2..2..0....0..1..1..3
..0..0..0..1....0..2..3..1....0..2..3..2....1..3..3..2....0..1..3..3
..2..3..2..2....0..2..3..3....1..3..3..3....3..3..3..2....1..3..3..3
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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