|
%I #5 Mar 31 2012 12:36:09
%S 48,44,304,784,3188,10296,38020,131184,470896,1657548,5909972,
%T 20946476,74559876,264925180,942717628,3352989040,11932074280,
%U 42457171692,151103252592,537762244964,1914001892748,6812367659852,24247630683032
%N Number of (n+2)X3 binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum
%C Column 1 of A187940
%H R. H. Hardin, <a href="/A187932/b187932.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=6*a(n-1)-5*a(n-2)-27*a(n-3)+76*a(n-4)-91*a(n-5)-51*a(n-6)+46*a(n-7)+7*a(n-8)+1378*a(n-9)-1195*a(n-10)+1324*a(n-11)-1078*a(n-12)-2750*a(n-13)-3729*a(n-14)-2433*a(n-15)-8936*a(n-16)+8415*a(n-17)+9599*a(n-18)-9292*a(n-19)+13722*a(n-20)-40054*a(n-21)-8978*a(n-22)-23008*a(n-23)+25496*a(n-24)+19792*a(n-25)+72996*a(n-26)+67912*a(n-27)-11848*a(n-28)-48960*a(n-29)-61120*a(n-30)-26816*a(n-31)+5440*a(n-32)+27904*a(n-33)+12544*a(n-34)-2048*a(n-35)-4096*a(n-36)
%e Some solutions for 4X3
%e ..0..1..0....1..0..0....0..1..0....1..1..1....1..0..1....0..0..0....1..1..0
%e ..1..1..1....0..1..1....1..0..1....0..1..0....0..0..0....1..1..1....0..1..1
%e ..1..0..1....1..0..0....0..1..0....1..1..1....1..0..1....0..0..0....1..1..0
%e ..1..1..1....0..1..1....1..0..1....0..1..0....0..0..0....1..1..1....0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 16 2011
| 