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A218588 Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX4 array 1

%I #4 Nov 03 2012 13:37:37

%S 13,225,3565,56629,900213,14309253,227451273,3615431533,57468767413,

%T 913489632033,14520292432269,230806004700461,3668756125551981,

%U 58316383606459589,926962839870918025,14734454596844709749

%N Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX4 array

%C Column 4 of A218592

%H R. H. Hardin, <a href="/A218588/b218588.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) +40*a(n-2) +92*a(n-3) +58*a(n-4) +30*a(n-5) -72*a(n-6) +4*a(n-7) -13*a(n-8) +9*a(n-9)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 03 2012

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)