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A221063 Equals one maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 2Xn array 2

%I #4 Dec 31 2012 06:38:52

%S 1,8,37,172,771,3392,14569,61210,252491,1028162,4152903,16695976,

%T 66953537,268144582,1073206163,4293994258,17178121515,68716367280,

%U 274872418553,1099502006098,4398029741851,17592156966114,70368693978927

%N Equals one maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 2Xn array

%C Row 2 of A221062

%H R. H. Hardin, <a href="/A221063/b221063.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -12*a(n-2) -6*a(n-3) +26*a(n-4) -4*a(n-5) -17*a(n-6) +3*a(n-7) +4*a(n-8) for n>12

%e Some solutions for n=3

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 31 2012

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)