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A231525 Number of 3Xn 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

%I A231525 #6 Jul 23 2025 06:33:54
%S A231525 8,21,153,865,4665,25556,144847,817539,4574717,25577718,143371820,
%T A231525 804082832,4506873305,25254564785,141534685147,793277267583,
%U A231525 4446076119277,24918173471356,139655004825056,782709245520654
%N A231525 Number of 3Xn 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.
%C A231525 Row 3 of A231523
%H A231525 R. H. Hardin, <a href="/A231525/b231525.txt">Table of n, a(n) for n = 1..210</a>
%F A231525 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 A231525 Some solutions for n=7
%e A231525 ..0..0..0..0..1..1..1....0..0..0..0..1..1..0....0..0..0..0..1..1..0
%e A231525 ..0..0..1..0..0..0..0....0..0..0..1..0..0..1....0..1..0..0..0..0..0
%e A231525 ..1..0..0..0..0..0..0....1..1..0..0..0..0..1....0..0..0..0..1..0..0
%K A231525 nonn
%O A231525 1,1
%A A231525 _R. H. Hardin_, Nov 10 2013