A203822 - OEIS

%I #8 Jun 05 2018 08:18:45

%S 104976,12002256,1372257936,157025515248,17968205387664,

%T 2056114528873776,235282648691687184,26923572225438510384,

%U 3080884822612993693584,352547994011441340096432,40342335152950317584529936

%N Number of (n+1) X 5 0..3 arrays with no 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.

%C Column 4 of A203826.

%H R. H. Hardin, <a href="/A203822/b203822.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 117*a(n-1) -34398*a(n-3) +86436*a(n-4).

%F Empirical g.f.: 11664*x*(9 - 24*x - 2744*x^2 + 7056*x^3) / ((1 - 117*x + 294*x^2)*(1 - 294*x^2)). - _Colin Barker_, Jun 05 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A203826.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2012