A219573 Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX3 array

10, 51, 415, 2234, 10226, 43194, 175054, 681294, 2520724, 8826995, 29312128, 92766392, 281352528, 821894587, 2322377790, 6369721171, 17006832588, 44306213351, 112846664535, 281447430087, 688297677269, 1652410927948

Offset

1,1

Comments

Column 3 of A219578

Links

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

Formula

Empirical: a(n) = (1/552610124608731372158976000000)*n^29 + (1/3811104307646423256268800000)*n^28 + (1/129629398219266097152000000)*n^27 - (31/604937191689908453376000000)*n^26 + (877/46533630129992957952000000)*n^25 + (239/372269041039943663616000)*n^24 + (33503/24430155818246302924800000)*n^23 + (5591879/8497445501998714060800000)*n^22 - (231247/12261826121210265600000)*n^21 + (12158051/7357095672726159360000)*n^20 + (2445075107/202320130999969382400000)*n^19 - (56854384157/21296855894733619200000)*n^18 + (137907619368839/1162808331852455608320000)*n^17 - (135165120005483/68400490108967976960000)*n^16 - (48023952636601/4071457744581427200000)*n^15 + (28424142664663183/16285830978325708800000)*n^14 - (84408492721776677/1638219684210278400000)*n^13 + (724628434108627231/851874235789344768000)*n^12 - (155602913726221679243/26335058373962956800000)*n^11 - (48964593179833669647503/579371284227185049600000)*n^10 + (76233590865481207417073/23709390351558912000000)*n^9 - (432565114735770248700887/8430005458332057600000)*n^8 + (85694644782598196110159/166229531500032000000)*n^7 - (86412687664576691056232021/26929184103005184000000)*n^6 + (464222833288478856269869001/68070993149263104000000)*n^5 + (182634752184978211634207821/2042129794477893120000)*n^4 - (5379349472699128084793279/4862213796375936000)*n^3 + (121933503571229586701/19688264481600)*n^2 - (14552066068591182739/776363187600)*n + 24775150 for n>10

Example

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

Crossrefs

Sequence in context: A213563 A030183 A224327 * A135242 A362673 A041186

Adjacent sequences: A219570 A219571 A219572 * A219574 A219575 A219576

Keyword

nonn

Author

R. H. Hardin Nov 23 2012

Status

approved