A202415 - OEIS

%I #5 Mar 31 2012 12:36:47

%S 94,356,1369,5167,19569,74358,281925,1068716,4054318,15377537,

%T 58314741,221168653,838835430,3181337791,12065537250,45760307296,

%U 173551434573,658213326759,2496355179281,9467731905634,35907499294429,136183511806220

%N Number of (n+2)X4 binary arrays with no more than one of any consecutive three bits set in any row or column

%C Column 2 of A202421

%H R. H. Hardin, <a href="/A202415/b202415.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +21*a(n-3) +29*a(n-4) +12*a(n-5) -21*a(n-6) -53*a(n-7) -41*a(n-8) +5*a(n-9) +21*a(n-10) +9*a(n-11) +4*a(n-12) +a(n-13)

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 19 2011