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 A229753 Number of defective 4-colorings of an n X 6 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..3 order. 1

%I

%S 50,6456,17404,32548,57677,102271,186396,354509,704530,1450667,

%T 3059672,6544921,14099310,30453719,65785684,141933029,305639306,

%U 656732227,1407958032,3011810033,6428914918,13695082991,29117602316,61795491133

%N Number of defective 4-colorings of an n X 6 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..3 order.

%H R. H. Hardin, <a href="/A229753/b229753.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) - 33*a(n-2) + 63*a(n-3) - 66*a(n-4) + 36*a(n-5) - 8*a(n-6) for n>11.

%F Empirical g.f.: x*(50 + 6006*x - 39050*x^2 + 85810*x^3 - 64351*x^4 - 14894*x^5 + 35422*x^6 - 8491*x^7 - 3870*x^8 - 356*x^9 + 888*x^10) / ((1 - x)^3*(1 - 2*x)^3). - _Colin Barker_, Sep 21 2018

%e Some solutions for n=3:

%e ..0..1..2..3..0..2....0..1..2..3..0..1....0..1..0..2..0..2....0..1..0..2..1..0

%e ..2..3..0..1..1..3....2..3..0..1..2..3....3..2..3..1..0..1....0..2..3..2..3..2

%e ..1..0..2..3..0..2....2..1..2..3..0..2....1..0..1..2..3..2....3..1..0..1..0..1

%Y Column 6 of A229755.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 28 2013

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Last modified October 27 01:02 EDT 2020. Contains 338035 sequences. (Running on oeis4.)