A209809 - OEIS

%I #5 Mar 31 2012 12:37:30

%S 173,2721,43209,712829,11912459,201392025,3428713825,58668627061,

%T 1007251262049,17332656663131,298717962915543,5153570546264489,

%U 88972824040813647,1536771179571237129,26551969300854432109

%N Number of (n+1)X4 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order

%C Column 3 of A209814

%H R. H. Hardin, <a href="/A209809/b209809.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-1) -68*a(n-2) -1905*a(n-3) +6356*a(n-4) +40342*a(n-5) -117881*a(n-6) -302966*a(n-7) +604526*a(n-8) +940543*a(n-9) -1163096*a(n-10) -1137756*a(n-11) +834912*a(n-12) +402624*a(n-13) -124416*a(n-14)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 13 2012