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A218660 Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX5 array 2

%I #4 Nov 04 2012 04:15:04

%S 17,891,25533,793881,24879489,775176415,24176619049,754066017977,

%T 23517838102321,733484062428443,22876204302519509,713472099034206097,

%U 22252052902297965073,694005913498881446047,21644933495864588983569

%N Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX5 array

%C Column 5 of A218663

%H R. H. Hardin, <a href="/A218660/b218660.txt">Table of n, a(n) for n = 1..145</a>

%F Empirical: a(n) = 22*a(n-1) +221*a(n-2) +1942*a(n-3) +3098*a(n-4) +4510*a(n-5) -26974*a(n-6) -8338*a(n-7) -42296*a(n-8) +99746*a(n-9) -4596*a(n-10) +54786*a(n-11) -78954*a(n-12) -8950*a(n-13) -5890*a(n-14) +10650*a(n-15) +425*a(n-16) -425*a(n-18)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 04 2012

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