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 A219405 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..2 n X 3 array. 1

%I #8 Jul 26 2018 05:16:45

%S 4,28,181,1180,7687,50077,326233,2125270,13845268,90196219,587591326,

%T 3827916001,24937299865,162456261409,1058335787620,6894622770400,

%U 44915634248581,292606900638904,1906213721217931,12418199102692513

%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..2 n X 3 array.

%C Column 3 of A219410.

%H R. H. Hardin, <a href="/A219405/b219405.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) + 15*a(n-2) + 9*a(n-3).

%F Empirical g.f.: x*(2 + 3*x)^2 / (1 - 4*x - 15*x^2 - 9*x^3). - _Colin Barker_, Jul 26 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A219410.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2012

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Last modified August 8 08:46 EDT 2024. Contains 375018 sequences. (Running on oeis4.)