A184452 - OEIS

%I #5 Mar 31 2012 12:36:00

%S 3159,4517,6880,11766,28668,80058,253176,1011114,4109928,16573530,

%T 76394256,343071594,1473267984,7095859362,32986799520,145080603426,

%U 712092090408,3363516907218,14962452326376,74120256227754

%N 1/36 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last

%C Column 4 of A184457

%H R. H. Hardin, <a href="/A184452/b184452.txt">Table of n, a(n) for n = 1..66</a>

%F Empirical: a(n)=6*a(n-1)-11*a(n-2)+195*a(n-3)-1134*a(n-4)+2079*a(n-5)-11600*a(n-6)+62796*a(n-7)-115126*a(n-8)+263520*a(n-9)-1204344*a(n-10)+2207964*a(n-11)-2907648*a(n-12)+10219824*a(n-13)-18736344*a(n-14)+17243280*a(n-15)-42140736*a(n-16)+77258016*a(n-17)-55857600*a(n-18)+82301184*a(n-19)-150885504*a(n-20)+92378880*a(n-21)-60466176*a(n-22)+110854656*a(n-23)-60466176*a(n-24)

%e Some solutions with a(1,1)=0 for 4X6

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2011