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A220065 Majority value maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..1 nX2 array 2

%I #4 Dec 03 2012 19:24:18

%S 2,6,19,65,222,776,2682,9310,32288,112036,388710,1348756,4679860,

%T 16238178,56343110,195499228,678342902,2353713428,8166912404,

%U 28337544624,98325585264,341170022526,1183791422522,4107518363162,14252263353112

%N Majority value maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..1 nX2 array

%C Column 2 of A220070

%H R. H. Hardin, <a href="/A220065/b220065.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) -a(n-3) +a(n-4) -4*a(n-5) -8*a(n-6) -6*a(n-7) -a(n-8) -9*a(n-9) -a(n-10) +14*a(n-11) +4*a(n-12) +20*a(n-13) -4*a(n-14) +4*a(n-15) -4*a(n-16) for n>17

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 03 2012

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Last modified April 19 04:35 EDT 2024. Contains 371782 sequences. (Running on oeis4.)