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Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nX5 array
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%I #4 Nov 06 2012 17:41:06

%S 29,993,31741,1015637,32496361,1039771513,33269071149,1064494567893,

%T 34060123730017,1089805494659041,34869985369949693,

%U 1115718250329709413,35699103424100012857,1142247144301883171769,36547935760902073717133

%N Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nX5 array

%C Column 5 of A218810

%H R. H. Hardin, <a href="/A218807/b218807.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 29*a(n-1) +88*a(n-2) +236*a(n-3) +503*a(n-4) +361*a(n-5) +156*a(n-6) -348*a(n-7) +73*a(n-8) -37*a(n-9) -36*a(n-10) -15*a(n-12) +15*a(n-13) for n>14

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 06 2012