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%I #5 Mar 31 2012 12:36:01
%S 234,3262,35672,431655,5026765,59486818,699638196,8249951270,
%T 97185031842,1145303393559,13494995620073,159020423665498,
%U 1873795331481368,22079833583812802,260176271590025408,3065775010848252800
%N Number of (n+1)X5 binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant
%C Column 4 of A185487
%H R. H. Hardin, <a href="/A185482/b185482.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=26*a(n-1)-236*a(n-2)+814*a(n-3)+1565*a(n-4)-29538*a(n-5)+146863*a(n-6)-318823*a(n-7)-435036*a(n-8)+5444956*a(n-9)-17902941*a(n-10)+28225408*a(n-11)-1895995*a(n-12)-107672699*a(n-13)+312121219*a(n-14)-479672797*a(n-15)+272036561*a(n-16)+558503978*a(n-17)-1778256376*a(n-18)+2608138499*a(n-19)-1969964820*a(n-20)-434174466*a(n-21)+3550563700*a(n-22)-5118103667*a(n-23)+1902623000*a(n-24)+6094839934*a(n-25)-14073327750*a(n-26)+16181130420*a(n-27)-6594079029*a(n-28)-15154396851*a(n-29)+37841875831*a(n-30)-44532768168*a(n-31)+29630377785*a(n-32)-988630218*a(n-33)-31151411668*a(n-34)+49770630368*a(n-35)-40507033365*a(n-36)+11881043492*a(n-37)+12500110512*a(n-38)-18649107624*a(n-39)+11529698746*a(n-40)-1968144150*a(n-41)-3380044951*a(n-42)+4062068711*a(n-43)-2847802902*a(n-44)+1413249781*a(n-45)-481786272*a(n-46)+107463496*a(n-47)-10679320*a(n-48)-2052402*a(n-49)+1072196*a(n-50)-153272*a(n-51)+12072*a(n-52) for n>55
%e Some solutions for 3X5
%e ..1..0..0..1..1....0..1..0..0..0....1..1..0..0..1....0..0..1..0..0
%e ..1..0..0..0..0....0..1..0..0..0....1..1..0..0..0....1..0..0..0..0
%e ..1..0..0..0..0....0..0..0..0..0....0..0..0..1..0....1..0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 28 2011
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