A218315 - OEIS

%I #4 Oct 25 2012 17:09:57

%S 13,249,4081,65089,1040977,16654561,266461045,4263157633,68206942353,

%T 1091253912337,17459148261297,279331743809857,4469073858100989,

%U 71501437236882745,1143963087047946337,18302450903099098801

%N Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nX4 array

%C Column 4 of A218319

%H R. H. Hardin, <a href="/A218315/b218315.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical: a(n) = 14*a(n-1) +28*a(n-2) +55*a(n-3) +122*a(n-4) +292*a(n-5) -40*a(n-6) -66*a(n-7) -40*a(n-9) -118*a(n-10) +13*a(n-12) +13*a(n-15)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 25 2012