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A219941
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Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal or diagonal 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, 76, 368, 2070, 8523, 30558, 100761, 313108, 921941, 2585664, 6949146, 18004266, 45195087, 110356035, 262913226, 612588113, 1398558018, 3133356168, 6897689403, 14935630967, 31839486936, 66877133838, 138505092333, 283012794327
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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) = (1/403291461126605635584000000)*n^26 + (1/4431774298094567424000000)*n^25 - (1/41363226782215962624000)*n^24 + (197/620448401733239439360000)*n^23 + (1217/8174550747473510400000)*n^22 - (256279/24523652242420531200000)*n^21 + (65279/408727537373675520000)*n^20 + (1856273/87584472294359040000)*n^19 - (653349821/430239513024921600000)*n^18 + (54055377587/1290718539074764800000)*n^17 + (2320366871/27839027313377280000)*n^16 - (3717812638987/83517081940131840000)*n^15 + (5484808764935099/3619073550739046400000)*n^14 - (2496111855647623/119310117057331200000)*n^13 - (72022776713071/632705166213120000)*n^12 + (37557787492220189/3796230997278720000)*n^11 - (2181011993923982069/13444984782028800000)*n^10 + (27307415379539594171/80669908692172800000)*n^9 + (1343328329294561945371/38318206628782080000)*n^8 - (2841881108865735917063/3649353012264960000)*n^7 + (1799819148808436831247773/195139015239168000000)*n^6 - (3401216027548345002782833/48784753809792000000)*n^5 + (46648398935022032997047/138524609583360000)*n^4 - (7212118970409085627577/7792009289064000)*n^3 + (9943478169830685757/12528895579200)*n^2 + (4275677919744929/1912224600)*n - 4212297 for n>13
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EXAMPLE
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Some solutions for n=3
..2..0..1....1..1..2....2..2..2....1..1..1....3..0..0....2..2..2....2..0..2
..3..0..0....1..0..1....3..3..2....1..1..1....3..3..3....2..2..2....3..0..0
..3..0..0....2..0..0....3..3..3....2..1..1....3..3..3....3..2..2....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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