A219879 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX4 array

10, 17, 129, 621, 2645, 10350, 40239, 155199, 581728, 2085519, 7121374, 23225035, 72683520, 219218974, 639377404, 1808073511, 4967931875, 13286469360, 34640551307, 88162618939, 219292820124, 533661457600, 1271821824645

Offset

1,1

Comments

Column 4 of A219883

Links

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

Formula

Empirical: a(n) = (1/1105220249217462744317952000000)*n^29 + (1/38111043076464232562688000000)*n^28 - (1/201645730563302817792000000)*n^27 + (389/604937191689908453376000000)*n^26 - (307/46533630129992957952000000)*n^25 - (773/404640261999938764800000)*n^24 + (40878821/195441246545970423398400000)*n^23 - (70069501/8497445501998714060800000)*n^22 + (12139/477733485241958400000)*n^21 + (50109247/2829652181817753600000)*n^20 - (445566582679/404640261999938764800000)*n^19 + (737417025883/21296855894733619200000)*n^18 - (2216933583028729/5814041659262278041600000)*n^17 - (6268242075250621/342002450544839884800000)*n^16 + (18619463335254179/16285830978325708800000)*n^15 - (536852810288080877/16285830978325708800000)*n^14 + (1152350125136381123/2129685589473361920000)*n^13 - (24885562289413355029/10648427947366809600000)*n^12 - (39408208806540972298007/289685642113592524800000)*n^11 + (1255759711529881816639841/289685642113592524800000)*n^10 - (4460229918485515193847251/63225040937490432000000)*n^9 + (370772167856232917329483/540384965277696000000)*n^8 - (39409170362295331975190999/13464592051502592000000)*n^7 - (280106596148918041437854963/13464592051502592000000)*n^6 + (23189350672718808866722526453/51053244861947328000000)*n^5 - (379821968293133120568499603/102106489723894656000)*n^4 + (3496996713409130344932041/202592241515664000)*n^3 - (3708578246594560887479/83889126921600)*n^2 + (35941859372224430069/776363187600)*n + 10128532 for n>12

Example

Some solutions for n=3
..1..0..0..0....0..0..0..0....2..0..0..0....1..1..0..1....2..1..1..1
..1..0..0..0....0..0..0..0....2..0..0..0....1..0..0..0....2..1..1..1
..1..1..0..0....1..1..0..1....2..2..0..2....1..0..0..0....2..2..1..1

Crossrefs

Sequence in context: A351498 A058621 A183229 * A177185 A241281 A002744

Adjacent sequences: A219876 A219877 A219878 * A219880 A219881 A219882

Keyword

nonn

Author

R. H. Hardin Nov 30 2012

Status

approved