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 A229584 Number of defective 3-colorings of an n X 6 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. 1

%I #7 Sep 19 2018 15:15:15

%S 40,1620,49848,1375152,35690460,890824020,21639043284,515235810840,

%T 12081465854052,279877517457936,6420164883723960,146080173897129444,

%U 3301145304079911108,74165789377610689020,1657889614174445634696

%N Number of defective 3-colorings of an n X 6 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order.

%H R. H. Hardin, <a href="/A229584/b229584.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 50*a(n-1) - 805*a(n-2) + 4662*a(n-3) - 12150*a(n-4) + 14580*a(n-5) - 6561*a(n-6).

%F Empirical g.f.: 4*x*(10 - 95*x + 262*x^2 + 93*x^3 - 1485*x^4 + 1701*x^5) / (1 - 25*x + 90*x^2 - 81*x^3)^2. - _Colin Barker_, Sep 19 2018

%e Some solutions for n=3:

%e ..0..1..2..1..0..1....0..1..0..1..0..1....0..1..2..0..1..2....0..1..2..1..0..1

%e ..0..1..2..0..2..1....2..1..2..1..2..0....2..0..2..0..0..2....2..0..2..1..0..1

%e ..0..1..2..1..0..2....2..1..0..2..1..2....2..0..1..2..1..0....2..0..2..2..0..2

%Y Column 6 of A229586.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 26 2013

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Last modified December 1 05:26 EST 2023. Contains 367468 sequences. (Running on oeis4.)