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

10, 33, 218, 1302, 6367, 28116, 116212, 452177, 1661479, 5791018, 19242699, 61244524, 187461137, 553667969, 1582231440, 4384799386, 11806014470, 30933256186, 78981312321, 196763074685, 478829103169, 1139452276535

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