|
%I #5 Mar 31 2012 12:37:01
%S 74,241,764,2399,7580,23912,75324,237298,747692,2355866,7422792,
%T 23387588,73689564,232180522,731551426,2304964968,7262464138,
%U 22882501880,72097956424,227165551128,715751065378,2255181533318,7105604131896
%N Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order
%C Column 1 of A204361
%H R. H. Hardin, <a href="/A204354/b204354.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-2) +6*a(n-3) +21*a(n-4) -4*a(n-5) -10*a(n-6) +2*a(n-7) -20*a(n-8) +4*a(n-10) for n>13
%e Some solutions for n=3
%e ..0..0..1....0..0..1....0..1..0....0..0..0....0..0..0....0..0..1....0..1..1
%e ..0..1..1....0..0..1....1..0..1....0..1..0....1..1..0....0..0..1....1..0..1
%e ..1..0..0....1..1..0....1..0..0....1..0..1....0..0..1....1..1..0....0..1..1
%e ..1..1..0....0..0..0....1..1..0....1..0..0....0..1..0....0..0..0....0..0..0
%e ..0..1..0....1..0..1....0..1..1....1..1..0....0..1..1....1..0..1....1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 14 2012
| 