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A219591
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Number of nX4 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..2 nX4 array
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1
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10, 34, 233, 1114, 4350, 16117, 60252, 226309, 831045, 2932198, 9899904, 32047091, 99786646, 299774977, 871181292, 2454943142, 6722356023, 17921513868, 46593529264, 118305418513, 293738371262, 713963398966, 1700512384149
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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) = (1/81868166608700944023552000000)*n^29 - (67/33876482734634873389056000000)*n^28 + (1093/7259246300278901440512000000)*n^27 - (1/940621483677214310400000)*n^26 - (47119/62044840173323943936000000)*n^25 + (1869449/24817936069329577574400000)*n^24 - (296052733/86862776242653521510400000)*n^23 + (54522829/1510656978133104721920000)*n^22 + (167845631/29428382690904637440000)*n^21 - (6024199483/14013515567097446400000)*n^20 + (8467657127141/539520349333251686400000)*n^19 - (2932958591041/11358323143857930240000)*n^18 - (12704169291856247/2584018515227679129600000)*n^17 + (47097728297965439/101334059420693299200000)*n^16 - (1011984217642567843/65143323913302835200000)*n^15 + (364057784069101777/1240825217396244480000)*n^14 - (56366476163066975107/28395807859644825600000)*n^13 - (904186645491855977543/14197903929822412800000)*n^12 + (6474020741492280364763/2600993419650662400000)*n^11 - (1166634295507637525043197/25749834854541557760000)*n^10 + (717109824273215889502078381/1517400982499770368000000)*n^9 - (6363461015557560073335283/4014288313491456000000)*n^8 - (11656748989007326967754487087/323150209236062208000000)*n^7 + (3938184473751556080945711017/5385836820601036800000)*n^6 - (163994244837799128753946400473/22690331049754368000000)*n^5 + (30438522365937746680601642677/680709931492631040000)*n^4 - (60274458996187160134975931/347300985455424000)*n^3 + (102759246483272304467447/275635702742400)*n^2 - (195156984499999649389/776363187600)*n - 310620487 for n>13
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EXAMPLE
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Some solutions for n=3
..1..1..0..0....2..2..0..0....0..0..0..0....1..1..0..0....1..1..0..0
..1..1..1..0....2..2..1..0....0..0..0..0....1..1..1..0....1..1..1..0
..2..2..2..2....2..2..1..1....2..1..1..1....2..1..0..0....1..1..1..2
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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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