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A219848 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX4 array 1
10, 33, 218, 1302, 6367, 28116, 116212, 452177, 1661479, 5791018, 19242699, 61244524, 187461137, 553667969, 1582231440, 4384799386, 11806014470, 30933256186, 78981312321, 196763074685, 478829103169, 1139452276535 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A219852

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = (1/4420880996869850977271808000000)*n^29 + (1/43555477801673408643072000000)*n^28 + (1/1209874383379816906752000000)*n^27 + (43/439954321229024329728000000)*n^26 + (239/46533630129992957952000000)*n^25 + (1271/10636258315426961817600000)*n^24 + (21559/2090280711721608806400000)*n^23 + (2358089/9711366287998530355200000)*n^22 + (414811/73570956727261593600000)*n^21 + (96602227/294283826909046374400000)*n^20 + (897677023/809280523999877529600000)*n^19 + (4533921193/24339263879695564800000)*n^18 + (931787469289/1162808331852455608320000)*n^17 + (164434612939/35532722134528819200000)*n^16 + (82237113442087/32571661956651417600000)*n^15 - (7016537322680609/130286647826605670400000)*n^14 + (695260733531027/704028294040780800000)*n^13 - (5073772635108677/6084815969923891200000)*n^12 - (507672575885083506979/2317485136908740198400000)*n^11 + (120144564891354934729/23647807519476940800000)*n^10 - (25084670412668166038597/505800327499923456000000)*n^9 + (11002475205125616793367/84300054583320576000000)*n^8 + (55130981973962294196913/19008835837415424000000)*n^7 - (13650131787757855786477/349729663675392000000)*n^6 + (44536807843513217954827921/204212979447789312000000)*n^5 - (23789530616592898876307/58346565556511232000)*n^4 - (1428365140707503731/767394854226000)*n^3 + (2161164468159204637/160787493266400)*n^2 - (27831547648057/840219900)*n + 31438 for n>7

EXAMPLE

Some solutions for n=3

..1..1..1..1....1..0..0..0....0..0..0..0....1..1..1..1....1..1..0..0

..1..1..0..0....1..0..0..0....0..0..0..0....1..1..1..1....1..1..0..0

..1..1..0..2....1..1..0..0....0..0..0..0....1..1..1..2....2..1..0..1

CROSSREFS

Sequence in context: A219818 A264251 A140866 * A320565 A177221 A045087

Adjacent sequences:  A219845 A219846 A219847 * A219849 A219850 A219851

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 29 2012

STATUS

approved

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Last modified April 6 08:06 EDT 2020. Contains 333267 sequences. (Running on oeis4.)