|
%I #4 Nov 11 2012 06:21:34
%S 13,249,4049,64577,1032785,16520553,264274797,4227506465,67625780417,
%T 1081783483265,17304872546433,276819362795425,4428172435248429,
%U 70835764221804249,1133132362454651729,18126280770002730561
%N Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nX4 array
%C Column 4 of A219063
%H R. H. Hardin, <a href="/A219059/b219059.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) +28*a(n-2) +55*a(n-3) +106*a(n-4) +358*a(n-5) -50*a(n-6) -102*a(n-7) -38*a(n-8) -122*a(n-9) -210*a(n-10) +18*a(n-11) +27*a(n-12) +18*a(n-14) +27*a(n-15)
%e Some solutions for n=3
%e ..0..1..1..1....1..0..1..1....1..0..1..0....0..0..0..1....1..1..1..1
%e ..0..0..0..1....0..1..1..1....0..0..0..0....0..0..1..0....0..0..0..0
%e ..1..0..1..0....1..0..0..1....0..1..1..1....1..0..0..0....0..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 11 2012
| 