A219447 - OEIS

%I #4 Nov 20 2012 06:12:05

%S 7,7,43,169,665,2603,10421,41777,166911,665377,2653983,10593377,

%T 42287115,168773051,673542439,2688054999,10728134353,42816483399,

%U 170881260415,681987867801,2721820100855,10862822905207,43353681555939

%N Unchanging value maps: number of nX4 binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..2 nX4 array

%C Column 4 of A219451

%H R. H. Hardin, <a href="/A219447/b219447.txt">Table of n, a(n) for n = 1..70</a>

%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) +8*a(n-3) +20*a(n-4) -22*a(n-5) +6*a(n-6) +34*a(n-7) +15*a(n-8) -21*a(n-9) -28*a(n-10) -35*a(n-11) -9*a(n-12) -a(n-13) for n>14

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 20 2012