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A218589 Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX5 array 1

%I #4 Nov 03 2012 13:38:28

%S 25,895,28325,898763,28543403,906390787,28782653703,913998678577,

%T 29024205558587,921669292406117,29267787550042425,929404283528404253,

%U 29513413706384880845,937204189864632464075,29761101248357058984601

%N Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nX5 array

%C Column 5 of A218592

%H R. H. Hardin, <a href="/A218589/b218589.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) +208*a(n-2) +1118*a(n-3) +2907*a(n-4) +5536*a(n-5) +5083*a(n-6) +5846*a(n-7) -1439*a(n-8) +240*a(n-9) +351*a(n-10) -86*a(n-11) -1083*a(n-12) -56*a(n-13) +5*a(n-14) -238*a(n-15) -15*a(n-18) for n>19

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 03 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)