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A218316 Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nX5 array 1

%I #4 Oct 25 2012 17:10:38

%S 25,993,32641,1040977,33296833,1065434881,34092332617,1090897313921,

%T 34906847699841,1116959510237537,35740797133371201,

%U 1143644481745733633,36594670664121360825,1170966976498174909921,37468943842624386026753

%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..2 nX5 array

%C Column 5 of A218319

%H R. H. Hardin, <a href="/A218316/b218316.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical: a(n) = 28*a(n-1) +112*a(n-2) +445*a(n-3) +1828*a(n-4) +8080*a(n-5) -402*a(n-6) -1452*a(n-7) -1206*a(n-9) -7956*a(n-10) +675*a(n-12) +2025*a(n-15)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 25 2012

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)