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A281761 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%I A281761 #4 Jan 29 2017 12:37:34
%S A281761 2,40,152,560,1872,5948,18358,55048,162120,471340,1355236,3862260,
%T A281761 10924470,30702868,85814996,238711156,661252798,1824976204,5020176620,
%U A281761 13769014596,37664818800,102784444960,279880084494,760592396664
%N A281761 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%C A281761 Column 4 of A281765.
%H A281761 R. H. Hardin, <a href="/A281761/b281761.txt">Table of n, a(n) for n = 1..210</a>
%F A281761 Empirical: a(n) = 7*a(n-1) -13*a(n-2) -5*a(n-3) +19*a(n-4) +21*a(n-5) +3*a(n-6) -63*a(n-7) -59*a(n-8) +83*a(n-9) +140*a(n-10) -186*a(n-11) -149*a(n-12) +197*a(n-13) +248*a(n-14) +70*a(n-15) -370*a(n-16) -268*a(n-17) +503*a(n-18) +307*a(n-19) -822*a(n-20) -226*a(n-21) +724*a(n-22) -54*a(n-23) -310*a(n-24) +156*a(n-25) +80*a(n-26) -44*a(n-27) +3*a(n-28) +9*a(n-29) for n>32
%e A281761 Some solutions for n=4
%e A281761 ..0..0..0..1. .0..0..1..1. .0..0..1..1. .0..1..0..1. .0..0..1..1
%e A281761 ..1..1..1..0. .0..1..1..1. .0..0..1..1. .1..0..1..0. .0..0..0..1
%e A281761 ..1..1..1..1. .1..1..1..1. .1..1..0..0. .1..1..0..1. .0..0..1..0
%e A281761 ..1..1..1..1. .1..1..1..1. .1..1..1..0. .0..0..1..1. .1..1..0..0
%Y A281761 Cf. A281765.
%K A281761 nonn
%O A281761 1,1
%A A281761 _R. H. Hardin_, Jan 29 2017