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Hilltop maps: number of 7Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 7Xn array
1

%I #4 Nov 03 2012 13:45:20

%S 1,11011,1782855,227451273,28782653703,3663996495065,467122877883141,

%T 59564772010560679,7594747878648617511,968342656073731373915,

%U 123465264778955860526245,15742032324396343036237669

%N Hilltop maps: number of 7Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 7Xn array

%C Row 7 of A218592

%H R. H. Hardin, <a href="/A218598/b218598.txt">Table of n, a(n) for n = 1..21</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 03 2012