A251254 - OEIS

%I #4 Dec 01 2014 07:32:45

%S 84,446,1770,9130,38332,192442,836546,4112126,18298862,88585834,

%T 400512170,1918066656,8765618868,41663142968,191790556024,

%U 906821509892,4194988138126,19763051033382,91728816380528,431069210118044

%N Number of (n+1)X(4+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge

%C Column 4 of A251258

%H R. H. Hardin, <a href="/A251254/b251254.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +21*a(n-2) -115*a(n-3) -95*a(n-4) +706*a(n-5) +69*a(n-6) -1492*a(n-7) +208*a(n-8) +987*a(n-9) -228*a(n-10) -111*a(n-11) +28*a(n-12)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014