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A229576 Number of defective 4-colorings of an n X 6 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. 1

%I #7 Sep 19 2018 08:51:15

%S 70,544,757,1064,1576,2440,4048,7224,13696,27080,54928,112984,234016,

%T 486120,1010608,2100344,4361536,9047560,18747088,38801304,80220256,

%U 165679400,341840368,704647864,1451234176,2986349640,6140466448

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

%H R. H. Hardin, <a href="/A229576/b229576.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) - 13*a(n-2) + 12*a(n-3) - 4*a(n-4) for n>7.

%F Empirical g.f.: x*(70 + 124*x - 1597*x^2 + 2754*x^3 - 1215*x^4 - 92*x^5 + 156*x^6) / ((1 - x)^2*(1 - 2*x)^2). - _Colin Barker_, Sep 19 2018

%e Some solutions for n=3:

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

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

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

%Y Column 6 of A229578.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 26 2013

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)