A220149 Number of nX4 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX4 array

10, 50, 254, 1174, 5410, 24684, 108169, 448881, 1761976, 6564622, 23314449, 79243936, 258638752, 812875058, 2465906695, 7234818015, 20565976895, 56733702403, 152106586332, 396892051129, 1009207780356, 2503839951948

Offset

1,1

Comments

Column 4 of A220153

Links

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

Formula

Empirical: a(n) = (1/552610124608731372158976000000)*n^29 + (1/7622208615292846512537600000)*n^28 + (1/272221736260458804019200000)*n^27 + (1/1878686930714001408000000)*n^26 + (463/23266815064996478976000000)*n^25 + (127/372269041039943663616000)*n^24 + (97193/2443015581824630292480000)*n^23 + (1458253/2124361375499678515200000)*n^22 + (293509/55178217545446195200000)*n^21 + (1203901/1051013667532308480000)*n^20 + (19197187/20232013099996938240000)*n^19 - (215771663/10648427947366809600000)*n^18 + (47996570583761/2907020829631139020800000)*n^17 - (3130777943459/13680098021793595392000)*n^16 + (352784890291/174491046196346880000)*n^15 + (12242591085947/145409205163622400000)*n^14 - (2308802430337703/1064842794736680960000)*n^13 + (63970460933829533/2129685589473361920000)*n^12 - (7607446827742849/82297057418634240000)*n^11 - (845289139000912665797/289685642113592524800000)*n^10 + (16663286001178049022791/284512684218706944000000)*n^9 - (300232887874952342719/602143247023718400000)*n^8 + (10527514392059792417183/6059066423176166400000)*n^7 + (113898768509462767685501/13464592051502592000000)*n^6 - (19927257308688059839763/149570053306486312500)*n^5 + (32438984170527374840711/44394125966910720000)*n^4 - (955894333256214244573/455832543410244000)*n^3 + (2762815941001472611/964724959598400)*n^2 - (432088153285363/1164544781400)*n - 2315 for n>4

Example

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

Crossrefs

Sequence in context: A003207 A095687 A204272 * A154410 A060156 A000450

Adjacent sequences: A220146 A220147 A220148 * A220150 A220151 A220152

Keyword

nonn

Author

R. H. Hardin Dec 06 2012

Status

approved