A187433 - OEIS

%I #5 Mar 31 2012 12:36:08

%S 81,646,5344,44195,365485,3022484,24995294,206705746,1709412335,

%T 14136474668,116905624191,966784526492,7995101408646,66117779901555,

%U 546779908805283,4521752985630622,37393930782377369,309239815576130829

%N Number of (n+1)X2 0..2 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors

%C Column 1 of A187441

%H R. H. Hardin, <a href="/A187433/b187433.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+32*a(n-2)+160*a(n-3)+468*a(n-4)+929*a(n-5)+1244*a(n-6)+881*a(n-7)-471*a(n-8)-2281*a(n-9)-3120*a(n-10)-1743*a(n-11)+1386*a(n-12)+3903*a(n-13)+3547*a(n-14)+613*a(n-15)-2124*a(n-16)-2314*a(n-17)-511*a(n-18)+932*a(n-19)+840*a(n-20)+73*a(n-21)-281*a(n-22)-172*a(n-23)-25*a(n-24)+8*a(n-25)+2*a(n-26) for n>27

%e Some solutions for 3X2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 10 2011