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%I #4 Nov 27 2012 06:17:13
%S 7,12,101,732,4795,27921,147012,723580,3337980,14511011,59861245,
%T 235609265,887651008,3207981101,11143521040,37284296392,120416051739,
%U 376205293077,1139267891524,3350419462463,9584861050421,26715225919808
%N Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 6Xn array
%C Row 6 of A219773
%H R. H. Hardin, <a href="/A219777/b219777.txt">Table of n, a(n) for n = 1..207</a>
%F Empirical: a(n) = (1/40363859243695878631510356787200000000)*n^35 + (1/768835414165635783457340129280000000)*n^34 - (1/3391920944848393162311794688000000)*n^33 + (1297/32891354616711691270902251520000000)*n^32 - (167/1019360163741064812114739200000000)*n^31 - (39409/132626429906095529318154240000000)*n^30 + (82349/1934135436130559802556416000000)*n^29 - (1357523/481402649386916621844480000000)*n^28 + (279248141/5716656461469634884403200000000)*n^27 + (9183684109/762220861529284651253760000000)*n^26 - (613141861303/386973668161021438328832000000)*n^25 + (6514447577629/60701751868395519737856000000)*n^24 - (1377196137353646971/352146038026529508879237120000000)*n^23 - (6454829250547/220933583051966565580800000)*n^22 + (284654362707373/19027772703040182681600000)*n^21 - (30218531162397980797/26512029966235987869696000000)*n^20 + (86466174975959944067341/1690141910347544226693120000000)*n^19 - (15211528789017746806321/11860644984895047204864000000)*n^18 - (513435727730689176204521/83512894393643361789542400000)*n^17 + (2151794586183900171583271/927534576078226980864000000)*n^16 - (8021134043141803410353301122093/65617274166434069977497600000000)*n^15 + (8191874688357126162431405330321/2187242472214468999249920000000)*n^14 - (72419088858168942357263459387623/1160921004483064314986496000000)*n^13 - (1590191650222292127135576400603/5496785059105418158080000000)*n^12 + (98218001412387757215543915953886167/1818936146831247463219200000000)*n^11 - (27233191101806214410004392161943711/15043832793341144432640000000)*n^10 + (110528343875153785345985042487597799/3175920256372019380224000000)*n^9 - (110312176557025698471648409518410473/311364731016864645120000000)*n^8 - (1743351701335351309995329010181022507/1776652921195767014400000000)*n^7 + (27650956719673073294470575030851340781/266497938179365052160000000)*n^6 - (40376411136986929669908803855621123698679/21204352614471479316864000000)*n^5 + (1179689145021583509739447851990971700557/60583864612775655191040000)*n^4 - (1749660224826242102482702421774211523/15364686991544130240000)*n^3 + (30662863473604374791711425242511/111442868915664000)*n^2 + (13550032347452370447061247671/24067258815600)*n - 3538538269662194 for n>39
%e Some solutions for n=3
%e ..0..0..1....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0....0..0..1
%e ..0..0..1....0..0..0....0..0..1....0..0..0....0..0..1....0..0..1....0..0..1
%e ..0..0..0....1..0..0....0..0..1....0..1..1....0..0..1....1..1..1....0..0..1
%e ..0..0..0....1..0..1....0..0..0....1..1..1....0..0..0....1..1..1....0..0..0
%e ..0..0..0....1..1..1....0..0..0....1..1..1....0..0..0....1..1..1....0..0..0
%e ..0..0..1....1..1..1....0..1..1....1..1..1....0..0..1....1..1..1....0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 27 2012
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