A280065 - OEIS

%I #4 Dec 25 2016 06:38:25

%S 2,4,15,52,170,603,2157,7777,28195,102429,372430,1355019,4930977,

%T 17946466,65320396,237756751,865411414,3150039989,11465974491,

%U 41735611962,151915810407,552967220870,2012778077066,7326430841669

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

%C Column 4 of A280069.

%H R. H. Hardin, <a href="/A280065/b280065.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +4*a(n-2) -21*a(n-3) -4*a(n-4) +34*a(n-5) +25*a(n-6) -37*a(n-7) -82*a(n-8) +44*a(n-9) +36*a(n-10) +6*a(n-11) -a(n-12) -5*a(n-13) -3*a(n-14) +a(n-15) for n>18

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280069.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2016