%I #4 Sep 22 2015 09:29:27

%S 22,709,15310,428301,9401742,220808869,4856629870,108673357501,

%T 2390753728462,52824430238229,1162134451107630,25594859555510701,

%U 563086760980631182,12391301216924710789,272608619423065220590

%N Number of (n+1)X(5+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.

%C Column 5 of A262420.

%H R. H. Hardin, <a href="/A262417/b262417.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) +215*a(n-2) -4730*a(n-3) -14143*a(n-4) +311146*a(n-5) +364285*a(n-6) -8014270*a(n-7) -3615956*a(n-8) +79551032*a(n-9) +9486400*a(n-10) -208700800*a(n-11)

%e Some solutions for n=3

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

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

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

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

%Y Cf. A262420.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 22 2015