A219352 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX6 array

6, 6, 46, 174, 689, 2482, 8744, 30122, 101738, 333863, 1060075, 3255831, 9692064, 28025330, 78861460, 216288179, 578998244, 1514942606, 3879328902, 9733779695, 23957650511, 57898956666, 137513675891, 321232670338, 738605315409

Offset

1,1

Comments

Column 6 of A219354

Links

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

Formula

Empirical: a(n) = (1/10333147966386144929666651337523200000000)*n^35 - (1/13419672683618370038528118620160000000)*n^34 + (571/17366635237623772991036388802560000000)*n^33 - (1627/157878502160216118100330807296000000)*n^32 + (4962493/1973481277002701476254135091200000000)*n^31 - (27689/55357118569500742671925248000000)*n^30 + (2477386139/29708320298965398567266549760000000)*n^29 - (157063/13244018589468113397350400000)*n^28 + (2129960783771/1463464054136226530407219200000000)*n^27 - (22729233607303/146346405413622653040721920000000)*n^26 + (717082600292221/49532629524610744106090496000000)*n^25 - (531885401415397/450296632041915855509913600000)*n^24 + (950333039024687447573/11268673216848944284135587840000000)*n^23 - (3342732513667788223/636288719189663708872704000000)*n^22 + (360994647940052684119/1272577438379327417745408000000)*n^21 - (1668973146543393165929/127257743837932741774540800000)*n^20 + (219376247560788924860061751/432676329048971322033438720000000)*n^19 - (35436350869202931198654041/2277243837099849063333888000000)*n^18 + (34635611390804287721049985223/106896504823863503090614272000000)*n^17 - (85373380825913418805958407/117468686619630223176499200000)*n^16 - (82451162609417958792257115916337/262469096665736279909990400000000)*n^15 + (42138816971691640219510531260239/2386082696961238908272640000000)*n^14 - (29028655971158941921093070559149089/46436840179322572599459840000000)*n^13 + (410208635494986300938836326762209/24832534855252712620032000000)*n^12 - (3348360848479607888681912034990812159/10004148807571861047705600000000)*n^11 + (191013401717674381783493620844133187/38111043076464232562688000000)*n^10 - (35651048428010109568894049831868420469/762220861529284651253760000000)*n^9 - (35657768001411688171850810063681/2727575099406994636800000)*n^8 + (313655526607484430976993492182921843749/31979752581523806259200000000)*n^7 - (867565222270098444789012826212334668781/4263967010869840834560000000)*n^6 + (426306934636845760181660424197327560688891/169634820915771834534912000000)*n^5 - (483191813519224880821386546051179743/23056510960573009920000)*n^4 + (2854949392908046676888008200952887794867/24522040438504431863040000)*n^3 - (76525917178425915379922968830965869/196585220767231296000)*n^2 + (82323357186540858884929756997/144403552893600)*n + 144960772198386 for n>31

Example

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

Crossrefs

Sequence in context: A102901 A014435 A175550 * A262895 A262893 A084675

Adjacent sequences: A219349 A219350 A219351 * A219353 A219354 A219355

Keyword

nonn

Author

R. H. Hardin Nov 18 2012

Status

approved