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A218079 Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 n X 3 array. 1

%I #7 Jul 24 2018 09:38:42

%S 4,8,26,78,246,762,2370,7372,22916,71264,221580,688986,2142340,

%T 6661388,20712972,64404986,200261174,622693012,1936204472,6020443090,

%U 18719993212,58208032550,180992322576,562778355430,1749905592014,5441164449786

%N Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 n X 3 array.

%C Column 3 of A218084.

%H R. H. Hardin, <a href="/A218079/b218079.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + 4*a(n-2) - 5*a(n-4) - a(n-5) for n>6.

%F Empirical g.f.: 2*x*(1 - x)*(2 + 2*x - x^2 - 4*x^3 - x^4) / (1 - 2*x - 4*x^2 + 5*x^4 + x^5). - _Colin Barker_, Jul 24 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A218084.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 20 2012

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)