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A279163 Number of nX3 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%I A279163 #4 Dec 07 2016 08:09:47
%S A279163 0,0,16,117,483,2001,7709,28139,99519,343156,1158512,3846322,12594188,
%T A279163 40751991,130532891,414450312,1305793262,4086143226,12709088120,
%U A279163 39314219923,121018445801,370868139707,1131946765331,3442082089719
%N A279163 Number of nX3 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%C A279163 Column 3 of A279168.
%H A279163 R. H. Hardin, <a href="/A279163/b279163.txt">Table of n, a(n) for n = 1..210</a>
%F A279163 Empirical: a(n) = 12*a(n-1) -60*a(n-2) +178*a(n-3) -423*a(n-4) +945*a(n-5) -1762*a(n-6) +2718*a(n-7) -4107*a(n-8) +5541*a(n-9) -6003*a(n-10) +6900*a(n-11) -7369*a(n-12) +5673*a(n-13) -6435*a(n-14) +6357*a(n-15) -3486*a(n-16) +5577*a(n-17) -3953*a(n-18) +453*a(n-19) -3432*a(n-20) +780*a(n-21) +357*a(n-22) +2541*a(n-23) +430*a(n-24) -354*a(n-25) -888*a(n-26) -583*a(n-27) -84*a(n-28) +354*a(n-29) +224*a(n-30) -36*a(n-31) -48*a(n-32) -8*a(n-33) for n>36
%e A279163 Some solutions for n=4
%e A279163 ..0..1..0. .0..0..1. .0..1..0. .0..1..1. .0..1..1. .0..1..0. .0..1..0
%e A279163 ..1..1..0. .1..1..1. .0..1..0. .1..0..0. .0..1..0. .0..0..1. .1..1..1
%e A279163 ..1..0..1. .0..0..0. .1..1..1. .1..0..0. .0..1..0. .1..1..1. .0..0..0
%e A279163 ..0..0..1. .1..0..1. .0..0..1. .0..1..1. .0..1..1. .0..0..0. .1..0..1
%Y A279163 Cf. A279168.
%K A279163 nonn
%O A279163 1,3
%A A279163 _R. H. Hardin_, Dec 07 2016