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A219716
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Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3Xn array
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1
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20, 44, 297, 1751, 7862, 30452, 106421, 345175, 1059499, 3113829, 8821007, 24186180, 64368220, 166638599, 420428489, 1035522928, 2493797431, 5880625520, 13596111695, 30856241755, 68811371991, 150927167533, 325853157602
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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) = (1/8401905440137617408000000)*n^26 - (1/64630041847212441600000)*n^25 + (107/155112100433309859840000)*n^24 + (1/23761044796769280000)*n^23 - (103/13233917517004800000)*n^22 + (1681/3005349539512320000)*n^21 - (807181/32267963476869120000)*n^20 + (3201449/4257578514309120000)*n^19 - (997337659/80669908692172800000)*n^18 - (632589611/2688996956405760000)*n^17 + (100650580631/2982752926433280000)*n^16 - (825235909/424789845480000)*n^15 + (13546857698161409/169644072690892800000)*n^14 - (1450780447643119/579979735695360000)*n^13 + (1247624255371401407/20879270485032960000)*n^12 - (41385606307935181/39544072888320000)*n^11 + (20084750476333849/1731411158400000)*n^10 - (20613489925124552999/1344498478202880000)*n^9 - (94689075182485664850649/38318206628782080000)*n^8 + (11206671056766215566519/187834346219520000)*n^7 - (121990800794493700512234947/146354261429376000000)*n^6 + (4581091125109590787891997/573938280115200000)*n^5 - (14361044875078954846102073/267154604196480000)*n^4 + (3109939899102790394890237/12467214862502400)*n^3 - (156299115694903226081/207244889280)*n^2 + (98999926083919027/74364290)*n - 1055987659 for n>18
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EXAMPLE
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Some solutions for n=3
..1..1..1....2..2..1....2..2..2....1..0..0....2..1..0....1..0..0....1..0..0
..1..1..2....1..1..1....2..2..2....1..0..0....0..0..0....1..0..0....1..0..2
..2..2..3....1..1..2....2..0..0....1..0..2....0..1..3....1..0..3....3..2..3
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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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