|
%I #4 Nov 10 2013 16:27:15
%S 4,20,116,589,3001,15644,81179,420243,2177937,11287977,58494710,
%T 303132340,1570918959,8140881877,42188034539,218628945511,
%U 1132989453013,5871432030067,30427217632524,157681390442587,817144077007238
%N Number of nX3 0..1 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors
%C Column 3 of A231544
%H R. H. Hardin, <a href="/A231539/b231539.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -14*a(n-2) +34*a(n-3) -67*a(n-4) +86*a(n-5) -79*a(n-6) +14*a(n-7) +47*a(n-8) -66*a(n-9) +15*a(n-10) -105*a(n-11) +121*a(n-12) +24*a(n-13) -40*a(n-14) -56*a(n-15) +2*a(n-16) +43*a(n-17) -11*a(n-18) -15*a(n-19) -6*a(n-20) +2*a(n-21) +a(n-22)
%e Some solutions for n=7
%e ..1..0..0....1..1..0....1..1..1....1..0..0....0..0..0....1..0..1....1..0..0
%e ..0..1..0....1..0..0....1..0..0....1..0..0....0..0..0....0..0..1....1..0..0
%e ..0..0..0....0..0..1....0..0..0....0..1..1....0..0..1....1..0..0....0..0..1
%e ..1..0..1....0..0..0....1..0..1....0..0..0....1..0..0....0..1..0....0..0..0
%e ..0..1..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..0....0..0..0
%e ..0..0..0....0..1..0....0..0..0....0..1..0....0..0..1....0..0..0....0..0..0
%e ..0..1..1....1..0..0....1..1..0....0..0..0....0..0..0....1..1..1....1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 10 2013
| 