A281711 - OEIS

%I #4 Jan 28 2017 13:42:33

%S 2,14,38,97,245,631,1625,4234,11017,28652,74521,193836,504195,1311543,

%T 3411786,8875377,23088294,60062126,156247057,406466099,1057396975,

%U 2750760479,7155964344,18615901819,48428431650,125984478749,327743372244

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

%C Column 4 of A281715.

%H R. H. Hardin, <a href="/A281711/b281711.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -2*a(n-2) -4*a(n-3) -2*a(n-4) +a(n-5) +7*a(n-6) +a(n-7) -10*a(n-8) -a(n-9) +27*a(n-10) -8*a(n-11) -18*a(n-12) +8*a(n-13) +a(n-14) -3*a(n-15) for n>16

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281715.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 28 2017