A203874 - OEIS

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

%S 4375,500095,57177415,6542729803,748675224487,85671438703075,

%T 9803443695486967,1121815509393271267,128370200942208070567,

%U 14689499750476722504019,1680930631372929899355415

%N Number of (n+1)X5 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 4 of A203878

%H R. H. Hardin, <a href="/A203874/b203874.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 118*a(n-1) -117*a(n-2) -34398*a(n-3) +120834*a(n-4) -86436*a(n-5)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 07 2012