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A219079 Hilltop maps: number of 2Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..1 2Xn array 2

%I #4 Nov 11 2012 14:23:49

%S 1,11,47,165,625,2435,9367,35901,137865,529675,2034399,7813333,

%T 30009313,115260115,442689383,1700273453,6530386425,25081819099,

%U 96333894191,369997847365,1421082488529,5458073486883,20963291245879,80515511728413

%N Hilltop maps: number of 2Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..1 2Xn array

%C Row 2 of A219078

%H R. H. Hardin, <a href="/A219079/b219079.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) +7*a(n-3) +6*a(n-4)

%e Some solutions for n=3

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 11 2012

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)