|
%I #4 Nov 17 2012 05:41:27
%S 6,15,136,1092,6546,35654,185295,919934,4332241,19354356,82377686,
%T 335088654,1305431736,4881371319,17561579850,60931312824,204316648265,
%U 663428883748,2089694277830,6395581415830,19047707831769,55281031168927
%N Number of nX6 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX6 array
%C Column 6 of A219291
%H R. H. Hardin, <a href="/A219289/b219289.txt">Table of n, a(n) for n = 1..91</a>
%F Empirical: a(n) = (1/14582730679021017755969126400000000)*n^35 - (1/22188432140522258631229440000000)*n^34 + (20477/1323474717087621779533332480000000)*n^33 - (971/273445189480913590812672000000)*n^32 + (1461359/2452090014366888178483200000000)*n^31 - (66045709/873260443826143402917888000000)*n^30 + (440716833901/61128231067830038204252160000000)*n^29 - (4310655227/9033728729235966237081600000)*n^28 + (184257428008961/13550593093853949355622400000000)*n^27 + (441838211207623/301124290974532207902720000000)*n^26 - (84289485235760137/305756972374140395716608000000)*n^25 + (32928887138107769/1273987384892251648819200000)*n^24 - (14588000136565543416851/8694963901889617503191040000000)*n^23 + (7668359672760756901/100710465208873648128000000)*n^22 - (85866619545944089147/45938106937380962304000000)*n^21 - (5985971898392914135453/130923604771535742566400000)*n^20 + (11039952703944040642776277457/1335420768669664574177280000000)*n^19 - (2539787321813591141261771899/4685686907612858155008000000)*n^18 + (5316445410865326684181973838787/219951656016180047511552000000)*n^17 - (206433083911040446234918466627/261847209543071485132800000)*n^16 + (9526999054947869172740500996508329/540059869682584938086400000000)*n^15 - (1423469499658299813274920051243509/9000997828043082301440000000)*n^14 - (53491442730009891250731417250980497/7349927220532221050880000000)*n^13 + (32623826586199070890518717559168481/72385646868877934592000000)*n^12 - (7243026966549173475393792478311496660723/494032039880091903590400000000)*n^11 + (37017493060276215298965945841506518591/108578470303316901888000000)*n^10 - (11022162446334981296802701688695158872629/1841113192099721379840000000)*n^9 + (613756573996749851860305151895545696993/7841778410795109580800000)*n^8 - (7357770298229699902933892817200918643228151/10659917527174602086400000000)*n^7 + (102224501814276219319144373566975791180961/44416323029894175360000000)*n^6 + (229953948767921398028284825383176737419687539/5654494030525727817830400000)*n^5 - (5611331457191684302593952838944658191926523/6731540512530628354560000)*n^4 + (64916473197109664236431786886526197362577/7966874736356215680000)*n^3 - (7198443269517828778302567416152162595977/147438915575423472000)*n^2 + (138454805758956974788166896433573/802241960520)*n - 279089340523564767335 for n>31
%e Some solutions for n=3
%e ..0..0..0..0..1..1....0..0..1..1..1..1....0..0..0..0..0..1....0..0..0..0..0..1
%e ..0..0..0..0..0..1....0..0..0..1..1..1....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..0..0..0..1..1....0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 17 2012
| 