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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
70, 544, 757, 1064, 1576, 2440, 4048, 7224, 13696, 27080, 54928, 112984, 234016, 486120, 1010608, 2100344, 4361536, 9047560, 18747088, 38801304, 80220256, 165679400, 341840368, 704647864, 1451234176, 2986349640, 6140466448 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

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

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

EXAMPLE

Some solutions for n=3:

..0..1..0..1..2..1....0..1..2..1..0..1....0..1..0..1..0..2....0..1..0..2..0..2

..2..3..2..3..0..3....2..3..0..3..2..3....3..2..3..2..3..3....3..2..3..1..3..1

..1..0..1..0..2..1....0..1..2..1..0..3....0..1..0..1..0..2....0..1..0..2..0..1

CROSSREFS

Column 6 of A229578.

Sequence in context: A007330 A060541 A235302 * A234556 A183715 A104475

Adjacent sequences:  A229573 A229574 A229575 * A229577 A229578 A229579

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 26 2013

STATUS

approved

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Last modified February 23 07:31 EST 2020. Contains 332159 sequences. (Running on oeis4.)