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A221448 Hilltop maps: number of 3Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 3Xn array 1

%I #4 Jan 17 2013 05:08:31

%S 1,31,221,1465,10593,76055,543081,3883061,27769277,198564543,

%T 1419847869,10152784401,72598518713,519122981715,3712041493221,

%U 26543328598837,189800757263741,1357189525524527,9704721072833461,69394590298217165

%N Hilltop maps: number of 3Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 3Xn array

%C Row 3 of A221446

%H R. H. Hardin, <a href="/A221448/b221448.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +8*a(n-2) +46*a(n-3) +39*a(n-4) +69*a(n-5) -10*a(n-6) -38*a(n-7) -68*a(n-8) -40*a(n-9) +50*a(n-10) +18*a(n-11) -13*a(n-12) -7*a(n-13) +4*a(n-14) +2*a(n-15) -a(n-16) +a(n-17)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 17 2013

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Last modified July 20 20:50 EDT 2024. Contains 374459 sequences. (Running on oeis4.)