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A219573
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Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX3 array
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1
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10, 51, 415, 2234, 10226, 43194, 175054, 681294, 2520724, 8826995, 29312128, 92766392, 281352528, 821894587, 2322377790, 6369721171, 17006832588, 44306213351, 112846664535, 281447430087, 688297677269, 1652410927948
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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) = (1/552610124608731372158976000000)*n^29 + (1/3811104307646423256268800000)*n^28 + (1/129629398219266097152000000)*n^27 - (31/604937191689908453376000000)*n^26 + (877/46533630129992957952000000)*n^25 + (239/372269041039943663616000)*n^24 + (33503/24430155818246302924800000)*n^23 + (5591879/8497445501998714060800000)*n^22 - (231247/12261826121210265600000)*n^21 + (12158051/7357095672726159360000)*n^20 + (2445075107/202320130999969382400000)*n^19 - (56854384157/21296855894733619200000)*n^18 + (137907619368839/1162808331852455608320000)*n^17 - (135165120005483/68400490108967976960000)*n^16 - (48023952636601/4071457744581427200000)*n^15 + (28424142664663183/16285830978325708800000)*n^14 - (84408492721776677/1638219684210278400000)*n^13 + (724628434108627231/851874235789344768000)*n^12 - (155602913726221679243/26335058373962956800000)*n^11 - (48964593179833669647503/579371284227185049600000)*n^10 + (76233590865481207417073/23709390351558912000000)*n^9 - (432565114735770248700887/8430005458332057600000)*n^8 + (85694644782598196110159/166229531500032000000)*n^7 - (86412687664576691056232021/26929184103005184000000)*n^6 + (464222833288478856269869001/68070993149263104000000)*n^5 + (182634752184978211634207821/2042129794477893120000)*n^4 - (5379349472699128084793279/4862213796375936000)*n^3 + (121933503571229586701/19688264481600)*n^2 - (14552066068591182739/776363187600)*n + 24775150 for n>10
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EXAMPLE
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Some solutions for n=3
..0..0..0....1..0..0....1..1..1....2..0..0....1..0..0....2..1..0....1..0..0
..0..0..0....0..0..0....3..1..1....2..2..0....1..1..0....1..0..0....1..1..0
..1..1..0....3..0..0....3..2..1....2..2..3....2..1..2....1..0..0....3..0..0
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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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