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A219804
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Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal 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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10, 13, 71, 283, 959, 2949, 8533, 23726, 63982, 168050, 430665, 1078155, 2639677, 6327977, 14871221, 34300242, 77728419, 173227386, 380005949, 821199928, 1749471843, 3676624578, 7626635592, 15623929531, 31625042904, 63277018190
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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 - (1/2068161339110798131200000)*n^25 + (29/620448401733239439360000)*n^24 - (1/454540953650724864000)*n^23 - (101/14197903929822412800000)*n^22 + (59/6728025306562560000)*n^21 - (8299/12907185390747648000)*n^20 + (968323/40872753737367552000)*n^19 - (368826583/1290718539074764800000)*n^18 - (16686031/945581347307520000)*n^17 + (19443278053/16703416388026368000)*n^16 - (64743515129/1855935154225152000)*n^15 + (6041192860521617/10857220652217139200000)*n^14 - (41663224788137/55678054626754560000)*n^13 - (421359114004849/2087927048503296000)*n^12 + (15536367487631/2781121609728000)*n^11 - (827911471501311773/10083738586521600000)*n^10 + (1195916251346469329/1792664637603840000)*n^9 - (75870758012399927/85151570286182400)*n^8 - (338847924886252339/7008359694336000)*n^7 + (124222375757495584863323/195139015239168000000)*n^6 - (150159842739176337191/35739746380800000)*n^5 + (1094487803961523901641/65616920328960000)*n^4 - (41649841345888552111/865778809896000)*n^3 + (17329974993576419/105781245570)*n^2 - (1472956532697073/2677114440)*n + 794884 for n>14
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EXAMPLE
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Some solutions for n=3
..1..1..1....2..2..2....2..2..2....2..0..0....1..0..0....3..1..1....0..0..0
..1..1..1....1..1..1....2..2..2....1..0..0....1..0..0....3..1..1....0..0..0
..3..3..3....1..1..1....3..3..3....1..1..1....2..2..2....3..3..3....1..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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