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A231766 Number of (2+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.

%I A231766 #6 Jul 23 2025 06:41:23
%S A231766 16,136,625,2976,15625,84817,440896,2280000,11902500,62359187,
%T A231766 325513764,1697812287,8864034201,46293362688,241690224400,
%U A231766 1261713925692,6587266165489,34392457554368,179559008401369,937448116348715
%N A231766 Number of (2+1)X(n+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one.
%C A231766 Row 2 of A231764
%H A231766 R. H. Hardin, <a href="/A231766/b231766.txt">Table of n, a(n) for n = 1..210</a>
%F A231766 Empirical: a(n) = 4*a(n-1) +25*a(n-3) +92*a(n-4) -199*a(n-5) -51*a(n-6) -940*a(n-7) -2001*a(n-8) +1652*a(n-9) -54*a(n-10) +6797*a(n-11) +11789*a(n-12) -5313*a(n-13) +1302*a(n-14) -17859*a(n-15) -25925*a(n-16) +7454*a(n-17) -951*a(n-18) +18218*a(n-19) +22763*a(n-20) -3531*a(n-21) +270*a(n-22) -7326*a(n-23) -8414*a(n-24) +641*a(n-25) -33*a(n-26) +1169*a(n-27) +1281*a(n-28) -43*a(n-29) +3*a(n-30) -67*a(n-31) -71*a(n-32) +a(n-33) +a(n-35) +a(n-36)
%e A231766 Some solutions for n=6
%e A231766 ..0..0..0..0..1..1..0....0..0..0..1..1..0..0....0..1..1..0..0..0..1
%e A231766 ..0..0..0..1..0..0..0....0..0..0..1..0..0..1....1..0..0..1..0..0..0
%e A231766 ..1..1..0..0..1..0..1....1..1..0..0..1..0..0....0..0..0..0..0..0..1
%K A231766 nonn
%O A231766 1,1
%A A231766 _R. H. Hardin_, Nov 13 2013