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A219702
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Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX6 array
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1
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6, 11, 78, 374, 1648, 6976, 28224, 109313, 406229, 1455051, 5040870, 16907432, 54919554, 172896652, 528191603, 1568021901, 4529817702, 12751729375, 35025397438, 93985142767, 246661858241, 633844786928, 1596397210262
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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) = (1/645821747899134058104165708595200000000)*n^35 - (1/1757338089521453219331063152640000000)*n^34 + (271/2170829404702971623879548600320000000)*n^33 - (1193/65782709233423382541804503040000000)*n^32 + (8563/4743945377410340087149363200000000)*n^31 - (53003/530505719624382117272616960000000)*n^30 - (258113/92071240595967144320040960000000)*n^29 + (3636739/2613328668100404518584320000000)*n^28 - (16695340799/91466503383514158150451200000000)*n^27 + (187327624277/12195533784468554420060160000000)*n^26 - (5374956089507/6191578690576343013261312000000)*n^25 + (2899710645019/121403503736791039475712000000)*n^24 + (9040404908846873/7336375792219364768317440000000)*n^23 - (111271868804471/504991046975923578470400000)*n^22 + (2736086262705902749/159072179797415927218176000000)*n^21 - (48524607463960877647/53024059932471975739392000000)*n^20 + (6441842610617436777277/189106787171753200189440000000)*n^19 - (133334875902453888802493/189770319758320755277824000000)*n^18 - (155203279294217117646138077/13362063102982937886326784000000)*n^17 + (172050192632196045103547489/90898388455666244124672000000)*n^16 - (3300148304796434605555318301/32039684651579135731200000000)*n^15 + (8345023220102992373421759657583/2187242472214468999249920000000)*n^14 - (611137440812786758387119531715789/5804605022415321574932480000000)*n^13 + (33963008733589934818580926487617/15990647444670307368960000000)*n^12 - (783951979977040048616692433591621137/30012446422715583143116800000000)*n^11 - (82561848860986457492999991072293/1276039388720900643840000000)*n^10 + (38134168794810271581208635167950967/2887200233065472163840000000)*n^9 - (248573046640842922383284622870097633/622729462033729290240000000)*n^8 + (19262737896411460542076927092325533433/2459980967809523558400000000)*n^7 - (121647188489625544970023509095613687433/1065991752717460208640000000)*n^6 + (40528723807439621566990978389269245357193/31806528921707218975296000000)*n^5 - (37606898520094962998359036395483901601/3461935120730037439488000)*n^4 + (70343125283683462787974917873446559923/1021751684937684660960000)*n^3 - (22623836656729681165041149750181503/73719457787711736000)*n^2 + (1218724412598235978219911991/1415721106800)*n - 1145194490337467 for n>23
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EXAMPLE
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Some solutions for n=3
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..1..1..1....0..0..0..0..1..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..1..1..1....0..0..0..1..1..1
..1..1..1..1..0..0....0..1..1..0..0..1....0..0..1..1..1..1....0..0..0..1..1..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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