%I #5 Mar 31 2012 12:35:52

%S 4832,603766,74491726,9207834547,1137874208678,140620157014391,

%T 17377952662176322,2147583158143435461,265400246990014695972,

%U 32798400405215436770601,4053255711263316221878940

%N 1/24 the number of (n+1)X5 0..3 arrays with every 2X2 subblock containing exactly three distinct values

%C Column 4 of A183594

%H R. H. Hardin, <a href="/A183589/b183589.txt">Table of n, a(n) for n = 1..199</a>

%F Empirical: a(n)=179*a(n-1)-6470*a(n-2)-111366*a(n-3)+8421556*a(n-4)-27797881*a(n-5)-3641734984*a(n-6)+33282463706*a(n-7)+695892591667*a(n-8)-8771266871058*a(n-9)-59332612133336*a(n-10)+1069043025480468*a(n-11)+1401139251128208*a(n-12)-67977787226742392*a(n-13)+103924226454772488*a(n-14)+2296282350133287328*a(n-15)-7835601773053827936*a(n-16)-39951799309240069504*a(n-17)+217732921395304638464*a(n-18)+281480768985183547392*a(n-19)-3088710469400605992960*a(n-20)+1060118307218454011904*a(n-21)+23235106821777545527296*a(n-22)-29813502870904911822848*a(n-23)-86205910856152217812992*a(n-24)+176340455396913407066112*a(n-25)+120352469518364633464832*a(n-26)-413035836961378449489920*a(n-27)+23412756898836805320704*a(n-28)+336580017414471294124032*a(n-29)-87482121395567755001856*a(n-30)-52610526709749173452800*a(n-31)

%e Some solutions with a(1,1)=0 for 3X5

%e ..0..0..0..1..1....0..0..0..0..2....0..0..0..0..1....0..0..0..3..2

%e ..2..3..2..0..2....3..2..3..2..3....2..3..2..1..3....1..2..3..1..2

%e ..3..0..3..3..3....0..0..3..1..2....0..3..1..0..0....0..1..1..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2011