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A218837 Unmatched value maps: number of n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 n X 3 array. 2

%I #8 Mar 10 2018 07:15:12

%S 4,20,93,436,2043,9573,44857,210190,984904,4615043,21625074,101330329,

%T 474811581,2224862385,10425214612,48850257184,228901534957,

%U 1072582125992,5025883366023,23550181377025,110350957732161,517080258425742

%N Unmatched value maps: number of n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..1 n X 3 array.

%C Column 3 of A218842.

%H R. H. Hardin, <a href="/A218837/b218837.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) + 3*a(n-2) + a(n-3).

%F Empirical g.f.: x*(2 + x)^2 / (1 - 4*x - 3*x^2 - x^3). - _Colin Barker_, Mar 10 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A218842.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 07 2012

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Last modified July 3 16:42 EDT 2024. Contains 373982 sequences. (Running on oeis4.)