A256804 - OEIS

%I #4 Apr 10 2015 13:30:02

%S 86,312,1167,4219,15291,55798,203129,738760,2689072,9788263,35621557,

%T 129642381,471844124,1717266695,6249942014,22746670844,82786372499,

%U 301300009747,1096578905535,3990990415282,14525173993491,52864244476540

%N Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 0 or 1 and no column sum 0 or 1

%C Column 2 of A256810

%H R. H. Hardin, <a href="/A256804/b256804.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-2) +17*a(n-3) +18*a(n-4) -7*a(n-5) -37*a(n-6) -47*a(n-7) +2*a(n-8) +40*a(n-9) +21*a(n-10) -7*a(n-11) -3*a(n-12) -2*a(n-13) -a(n-14)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A256810

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2015