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A224377
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Number of 5Xn 0..2 arrays with rows unimodal and antidiagonals nondecreasing
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1
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243, 11664, 132236, 800309, 3607078, 13831334, 48166179, 158023549, 497580715, 1514359253, 4458436636, 12678906115, 34773215421, 91905020703, 234118674737, 575345712656, 1365918264285, 3137981575530, 6988511558308, 15115188591949
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = (1/1379196149760000)*n^20 + (1/12538146816000)*n^19 + (467/101624979456000)*n^18 + (223/1302884352000)*n^17 + (67777/14944849920000)*n^16 + (8993/99632332800)*n^15 + (29436877/20922789888000)*n^14 + (26572241/1494484992000)*n^13 + (439786693/2299207680000)*n^12 + (20411147/10948608000)*n^11 + (8076494051/459841536000)*n^10 + (1128125897/6967296000)*n^9 + (3054806701103/2179457280000)*n^8 + (547815604487/53374464000)*n^7 + (2418856630291/41513472000)*n^6 + (950711499611/4790016000)*n^5 + (286543564329947/1323241920000)*n^4 - (4310267256629/5513508000)*n^3 + (49217261945707/48886437600)*n^2 + (184937368403/116396280)*n - 3058 for n>3
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EXAMPLE
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Some solutions for n=3
..1..2..0....0..0..0....1..1..1....2..0..0....1..0..0....0..0..1....1..0..0
..2..0..0....1..2..0....1..2..0....1..0..0....1..1..1....0..1..0....0..1..0
..0..0..0....2..0..0....2..0..0....1..0..0....2..2..2....2..1..0....2..1..0
..0..0..0....1..1..1....2..2..1....2..1..0....2..2..2....1..1..1....2..1..0
..2..2..1....2..1..0....2..2..0....1..2..2....2..2..1....2..2..2....2..2..1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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