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A224314
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Number of 6Xn 0..2 arrays with diagonals and rows unimodal and antidiagonals nondecreasing
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1
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729, 69984, 615481, 2717759, 9829605, 33934344, 118317987, 416543502, 1454734611, 4952178320, 16233385381, 50895787205, 152210262323, 434202798968, 1183383351150, 3089018682146, 7745205810204, 18709904381707, 43674432900423
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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) = (1/35608838483312640000)*n^24 - (1/989134402314240000)*n^23 + (29/340606281144729600)*n^22 - (53/37347179950080000)*n^21 + (22843/270322445352960000)*n^20 - (9467/35777970708480000)*n^19 + (662659/9959247986688000)*n^18 + (276971/2196892938240000)*n^17 + (3268463573/52725430517760000)*n^16 - (2963663/488198430720000)*n^15 + (9468406841/251073478656000)*n^14 - (84633169147/72425041920000)*n^13 + (487482300065231/17575143505920000)*n^12 - (1486260397277527/4393785876480000)*n^11 + (9918644607332189/5272543051776000)*n^10 + (43388314670213341/2196892938240000)*n^9 - (3089001310329622433/5335311421440000)*n^8 + (16161770203432180709/2000741783040000)*n^7 - (9131503366840338348499/106439462857728000)*n^6 + (11613280481413038257281/14783258730240000)*n^5 - (88365905776581806936999/14783258730240000)*n^4 + (4417617587739169133/127135008000)*n^3 - (377212760667401564861/2698531355520)*n^2 + (557689056867461/1615152)*n - 399418303 for n>12
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EXAMPLE
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Some solutions for n=3
..0..0..0....0..0..1....0..0..1....0..0..1....0..0..0....0..0..0....0..0..0
..0..0..1....0..2..1....1..2..0....1..1..0....1..0..0....1..0..0....1..0..0
..1..1..0....2..1..1....2..0..0....2..2..1....2..2..1....0..1..1....2..2..1
..1..2..1....1..1..1....1..1..0....2..2..1....2..2..0....2..1..0....2..1..0
..2..1..0....1..2..1....2..0..0....2..1..1....2..2..2....2..2..0....1..2..1
..1..2..0....2..1..1....2..1..0....2..2..1....2..2..1....2..1..1....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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