A231525 - OEIS

%I #4 Nov 10 2013 05:36:19

%S 8,21,153,865,4665,25556,144847,817539,4574717,25577718,143371820,

%T 804082832,4506873305,25254564785,141534685147,793277267583,

%U 4446076119277,24918173471356,139655004825056,782709245520654

%N Number of 3Xn 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors

%C Row 3 of A231523

%H R. H. Hardin, <a href="/A231525/b231525.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -8*a(n-2) +29*a(n-3) +56*a(n-4) -182*a(n-5) -17*a(n-6) -559*a(n-7) -759*a(n-8) +476*a(n-9) +377*a(n-10) +965*a(n-11) +1048*a(n-12) -43*a(n-13) +15*a(n-14) -384*a(n-15) -335*a(n-16) for n>17

%e Some solutions for n=7

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2013