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Number of (n+1)X6 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:36:58

%S 39367,10501975,2801693287,748675224487,200096473566151,

%T 53482170255256135,14294949784964335495,3820825310863126339495,

%U 1021249636238740150452295,272964825632097717303241351

%N Number of (n+1)X6 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 5 of A203878

%H R. H. Hardin, <a href="/A203875/b203875.txt">Table of n, a(n) for n = 1..147</a>

%F Empirical: a(n) = 304*a(n-1) -8430*a(n-2) -386764*a(n-3) +4486195*a(n-4) +17085516*a(n-5) -113413636*a(n-6) +92236816*a(n-7)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012