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A220917 Equals one maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 2Xn array 1

%I

%S 1,8,37,165,749,3279,13865,57374,233955,945919,3806673,15279785,

%T 61241380,245248287,981633428,3927941234,15714642964,62863639188,

%U 251459531333,1005822291342,4023141288428,16091775934984,64363479233826

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

%C Row 2 of A220916

%H R. H. Hardin, <a href="/A220917/b220917.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +4*a(n-2) -14*a(n-3) -6*a(n-4) -16*a(n-5) +47*a(n-6) -40*a(n-7) -60*a(n-8) -92*a(n-9) +8*a(n-10) -28*a(n-11) -54*a(n-12) +22*a(n-13) +62*a(n-14) -38*a(n-15) -108*a(n-16) -32*a(n-17) +54*a(n-18) +18*a(n-19) -22*a(n-20) -10*a(n-21) for n>22

%e Some solutions for n=3

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 24 2012

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Last modified July 2 21:48 EDT 2022. Contains 355029 sequences. (Running on oeis4.)