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A229475 Number of defective 4-colorings of an n X 4 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order. 1
6, 248, 3328, 36116, 360912, 3443856, 31875248, 288634368, 2570642816, 22599003712, 196602867456, 1695703281408, 14520402611968, 123579905038336, 1046236716429312, 8817070242804736, 74007384618897408, 618990518429175808 (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) = 24*a(n-1) - 224*a(n-2) + 1096*a(n-3) - 3360*a(n-4) + 6976*a(n-5) - 9744*a(n-6) + 8704*a(n-7) - 4096*a(n-8) for n > 9.

Empirical g.f.: 2*x*(3 + 52*x - 640*x^2 + 2610*x^3 - 6024*x^4 + 7944*x^5 - 2824*x^6 - 4736*x^7 + 10240*x^8) / (1 - 12*x + 40*x^2 - 68*x^3 + 64*x^4)^2. - Colin Barker, Sep 18 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Column 4 of A229479.

Sequence in context: A322559 A229631 A206307 * A281054 A056238 A335158

Adjacent sequences:  A229472 A229473 A229474 * A229476 A229477 A229478

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 24 2013

STATUS

approved

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Last modified July 25 23:39 EDT 2021. Contains 346294 sequences. (Running on oeis4.)