%I #4 Dec 11 2016 08:48:46

%S 2,22,157,1101,7905,58009,421999,3067328,22304530,162224094,

%T 1179829710,8580514470,62403408581,453841694780,3300657491363,

%U 24004707479075,174579148029679,1269662613383404,9233881448897128,67155294281153682

%N Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with new values introduced in order 0 sequentially upwards.

%C Column 4 of A279384.

%H R. H. Hardin, <a href="/A279380/b279380.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -18*a(n-2) +42*a(n-3) +a(n-4) -147*a(n-5) +118*a(n-6) -254*a(n-7) -699*a(n-8) +976*a(n-9) +1758*a(n-10) +422*a(n-11) +1984*a(n-12) -2476*a(n-13) -4611*a(n-14) +8817*a(n-15) -12118*a(n-16) -71694*a(n-17) -47957*a(n-18) +209570*a(n-19) +357068*a(n-20) -294026*a(n-21) -948301*a(n-22) +197515*a(n-23) +1797295*a(n-24) +497439*a(n-25) -2086309*a(n-26) -1455719*a(n-27) +1439560*a(n-28) +1499339*a(n-29) -1503036*a(n-30) -2819866*a(n-31) -157232*a(n-32) +3810948*a(n-33) +4106373*a(n-34) +460264*a(n-35) -3269163*a(n-36) -3360351*a(n-37) -590297*a(n-38) +1861230*a(n-39) +1993226*a(n-40) +353227*a(n-41) -1068597*a(n-42) -1213978*a(n-43) -536455*a(n-44) +151228*a(n-45) +379179*a(n-46) +276252*a(n-47) +108994*a(n-48) +13706*a(n-49) -11126*a(n-50) -8057*a(n-51) -2691*a(n-52) -415*a(n-53) +52*a(n-54) +46*a(n-55) +11*a(n-56) +a(n-57) for n>58

%e Some solutions for n=4

%e ..0..1..1..0. .0..0..1..0. .0..0..1..0. .0..0..1..0. .0..1..0..1

%e ..1..0..1..0. .1..1..1..0. .1..0..1..0. .1..0..1..0. .0..1..1..0

%e ..0..0..1..1. .0..0..1..1. .1..1..0..1. .0..0..1..1. .1..0..1..1

%e ..1..0..1..0. .1..1..0..0. .0..1..0..1. .1..0..0..1. .0..1..0..0

%Y Cf. A279384.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2016