%I #4 Nov 12 2013 15:05:47
%S 17,87,387,1903,9352,45126,218976,1063266,5157832,25029089,121453256,
%T 589322201,2859633713,13876023287,67331513300,326717840479,
%U 1585356878661,7692742049748,37328056194113,181129653079705,878908640782024
%N Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one
%C Column 2 of A231710
%H R. H. Hardin, <a href="/A231704/b231704.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +a(n-2) +21*a(n-3) -31*a(n-4) +30*a(n-5) -95*a(n-6) +100*a(n-7) -67*a(n-8) +158*a(n-9) -270*a(n-10) -70*a(n-11) +104*a(n-12) +306*a(n-13) -26*a(n-14) -498*a(n-15) +168*a(n-16) +208*a(n-17) +256*a(n-18) -248*a(n-19) -168*a(n-20) +112*a(n-21) +8*a(n-22) +8*a(n-23) -32*a(n-24) +16*a(n-25)
%e Some solutions for n=6
%e ..0..0..0....1..0..1....0..0..1....0..0..0....1..0..0....0..0..0....1..0..0
%e ..0..0..0....0..0..0....1..0..0....0..0..1....1..0..0....0..1..0....1..0..0
%e ..0..1..0....1..0..1....1..0..0....0..0..1....1..0..0....0..1..0....0..0..0
%e ..0..0..0....0..0..0....1..0..1....0..1..0....1..0..0....0..0..0....1..0..0
%e ..1..0..1....1..0..0....0..0..0....1..0..0....0..0..0....0..0..1....0..0..0
%e ..0..0..0....0..0..1....1..0..0....0..0..0....0..0..0....1..0..1....0..1..1
%e ..1..0..1....0..0..1....0..0..0....1..1..1....1..0..1....0..0..0....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 12 2013
|