A219352 - OEIS

%I #4 Nov 18 2012 14:05:28

%S 6,6,46,174,689,2482,8744,30122,101738,333863,1060075,3255831,9692064,

%T 28025330,78861460,216288179,578998244,1514942606,3879328902,

%U 9733779695,23957650511,57898956666,137513675891,321232670338,738605315409

%N 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

%C Column 6 of A219354

%H R. H. Hardin, <a href="/A219352/b219352.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=3

%e ..0..0..0..1..1..1....0..0..0..0..0..0....0..0..1..1..1..1....0..0..0..0..1..1

%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..1..1..1..1....0..0..0..0..1..1

%e ..0..0..0..0..0..0....1..1..1..1..0..0....1..1..1..1..1..1....0..0..0..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 18 2012