A219597 Number of 4Xn 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..2 4Xn array

10, 46, 264, 1114, 4152, 14793, 51122, 170728, 550156, 1714425, 5181670, 15217623, 43453991, 120646669, 325663378, 854806408, 2182941966, 5428211529, 13157408701, 31124038143, 71939605189, 162674579688, 360302418944

Offset

1,1

Comments

Row 4 of A219595

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical: a(n) = (1/32315020923606220800000)*n^25 - (109/11079435745236418560000)*n^24 + (2143/1292600836944248832000)*n^23 - (79003/421500272916602880000)*n^22 + (50173/3193183885731840000)*n^21 - (44960737/43792236147179520000)*n^20 + (27515689/510909421717094400)*n^19 - (60384781/26191528796160000)*n^18 + (21813448039/268899695640576000)*n^17 - (2221068910103/949057749319680000)*n^16 + (9482825036023/173993920708608000)*n^15 - (91557547148539/93211028951040000)*n^14 + (5251971236010727/434984801771520000)*n^13 - (62481716542887379/1491376463216640000)*n^12 - (9282784846386031/3954407288832000)*n^11 + (4293029543793101017/59316109332480000)*n^10 - (105931313393469849253/84031154887680000)*n^9 + (202993929290792591407/13095764398080000)*n^8 - (3712306914099958615759/26609865714432000)*n^7 + (11336104215245400553903/12671364625920000)*n^6 - (369076146776783247776693/101634903770400000)*n^5 + (41196192835097343490679/9034213668480000)*n^4 + (15522433799255326230017/346311523958400)*n^3 - (23040269972514059058427/74209612276800)*n^2 + (112252070661045629/127481640)*n - 1011429662 for n>12

Example

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

Crossrefs

Sequence in context: A003765 A138041 A351901 * A000832 A242462 A253477

Adjacent sequences: A219594 A219595 A219596 * A219598 A219599 A219600

Keyword

nonn

Author

R. H. Hardin Nov 23 2012

Status

approved