A203374 - OEIS

%I #8 Jun 04 2018 09:22:35

%S 324,3412,36300,387324,4136292,44183028,471988172,5042151644,

%T 53864590276,575428804372,6147238485228,65670238411324,

%U 701547599923492,7494552376793140,80063441950649100,855308552375931036

%N Number of (n+1) X 5 0..1 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.

%C Column 4 of A203378.

%H R. H. Hardin, <a href="/A203374/b203374.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -65*a(n-2) +92*a(n-3) -48*a(n-4) +8*a(n-5).

%F Empirical g.f.: 4*x*(81 - 443*x + 692*x^2 - 376*x^3 + 64*x^4) / (1 - 16*x + 65*x^2 - 92*x^3 + 48*x^4 - 8*x^5). - _Colin Barker_, Jun 04 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A203378.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2011