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1/8 the number of (n+1)X6 0..3 arrays with all 2X2 subblock sums the same
1

%I #5 Mar 31 2012 12:35:56

%S 2312,3781,6650,13603,29432,70867,177386,477919,1325792,3881491,

%T 11637650,36399823,116243192,384453427,1295419706,4494981199,

%U 15848957072,57232544851,209314623650,779774009743,2931862472552,11174138451187

%N 1/8 the number of (n+1)X6 0..3 arrays with all 2X2 subblock sums the same

%C Column 5 of A184029

%H R. H. Hardin, <a href="/A184025/b184025.txt">Table of n, a(n) for n = 1..76</a>

%F Empirical: a(n)=8*a(n-1)+16*a(n-2)-268*a(n-3)+189*a(n-4)+3388*a(n-5)-5824*a(n-6)-20048*a(n-7)+49756*a(n-8)+52752*a(n-9)-196896*a(n-10)-24192*a(n-11)+369216*a(n-12)-131328*a(n-13)-262656*a(n-14)+165888*a(n-15)

%e Some solutions for 4X6

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 08 2011