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A229682 Number of defective 3-colorings of an n X 5 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. 1
0, 2688, 108000, 2700432, 58038768, 1138164048, 21063718224, 373936700880, 6435143958672, 108084508966224, 1780281966880656, 28856162624878800, 461471700766361616, 7295948004100520016, 114218818672804436880 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A229685.

LINKS

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

FORMULA

Empirical: a(n) = 45*a(n-1) -675*a(n-2) +2565*a(n-3) +25272*a(n-4) -211410*a(n-5) +3805380*a(n-7) -8188128*a(n-8) -14959080*a(n-9) +70858800*a(n-10) -85030560*a(n-11) +34012224*a(n-12) for n>13.

Empirical g.f.: 48*x^2*(56 - 270*x - 7191*x^2 + 52596*x^3 + 88749*x^4 - 1358532*x^5 + 992412*x^6 + 10940832*x^7 - 16886556*x^8 - 22289904*x^9 + 58471632*x^10 - 30233088*x^11) / ((1 - 15*x + 18*x^2)^3*(1 - 18*x^2)^3). - Colin Barker, Jun 16 2017

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A157613 A233899 A186833 * A186937 A185748 A252404

Adjacent sequences:  A229679 A229680 A229681 * A229683 A229684 A229685

KEYWORD

nonn

AUTHOR

R. H. Hardin Sep 27 2013

STATUS

approved

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Last modified August 11 08:50 EDT 2020. Contains 336422 sequences. (Running on oeis4.)