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A279973 Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%I A279973 #4 Dec 24 2016 08:31:27
%S A279973 3,24,221,1922,15511,118857,876704,6281773,43997218,302544617,
%T A279973 2049122034,13702872583,90643155972,593994248709,3860755349595,
%U A279973 24913212937078,159737403339158,1018352525988640,6458838814490585,40774568909571868
%N A279973 Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%C A279973 Column 4 of A279977.
%H A279973 R. H. Hardin, <a href="/A279973/b279973.txt">Table of n, a(n) for n = 1..210</a>
%F A279973 Empirical: a(n) = 30*a(n-1) -399*a(n-2) +3163*a(n-3) -17061*a(n-4) +67920*a(n-5) -210660*a(n-6) +527724*a(n-7) -1093560*a(n-8) +1904479*a(n-9) -2816082*a(n-10) +3556545*a(n-11) -3846177*a(n-12) +3560349*a(n-13) -2812614*a(n-14) +1885732*a(n-15) -1064382*a(n-16) +500283*a(n-17) -192971*a(n-18) +59883*a(n-19) -14538*a(n-20) +2649*a(n-21) -339*a(n-22) +27*a(n-23) -a(n-24)
%e A279973 Some solutions for n=4
%e A279973 ..0..1..0..1. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..0..0
%e A279973 ..1..1..0..1. .0..0..1..1. .1..0..1..0. .0..0..1..0. .0..1..1..1
%e A279973 ..1..0..1..1. .0..0..0..1. .1..0..0..1. .0..1..1..0. .0..0..1..0
%e A279973 ..0..1..0..1. .0..1..0..1. .0..1..0..0. .1..0..0..1. .1..1..0..1
%Y A279973 Cf. A279977.
%K A279973 nonn
%O A279973 1,1
%A A279973 _R. H. Hardin_, Dec 24 2016