login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 1
10, 46, 264, 1114, 4152, 14793, 51122, 170728, 550156, 1714425, 5181670, 15217623, 43453991, 120646669, 325663378, 854806408, 2182941966, 5428211529, 13157408701, 31124038143, 71939605189, 162674579688, 360302418944 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A219595
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 23 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)