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A229669 Number of defective 4-colorings of an n X 5 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order. 1
12, 5048, 194575, 4331928, 78681904, 1289285440, 19833096240, 292113020848, 4166458573712, 57969095029904, 790685144800368, 10610748626178800, 140470975441761744, 1838307497254313168, 23820028631434272176 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A229672.

LINKS

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

FORMULA

Empirical: a(n) = 66*a(n-1) - 1983*a(n-2) + 36508*a(n-3) - 468807*a(n-4) + 4527234*a(n-5) - 34485537*a(n-6) + 213596064*a(n-7) - 1095467256*a(n-8) + 4692517600*a(n-9) - 16779635712*a(n-10) + 49467398400*a(n-11) - 116139110400*a(n-12) + 197107906560*a(n-13) - 151773413376*a(n-14) - 378891157504*a(n-15) + 1841068769280*a(n-16) - 4016144252928*a(n-17) + 4768264093696*a(n-18) - 62024318976*a(n-19) - 11965845995520*a(n-20) + 24277831122944*a(n-21) - 21830698008576*a(n-22) - 1777915133952*a(n-23) + 29048877088768*a(n-24) - 34853659607040*a(n-25) + 19378892439552*a(n-26) - 4398046511104*a(n-27) for n > 29.

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Sequence in context: A061701 A236067 A134821 * A013508 A230749 A003793

Adjacent sequences:  A229666 A229667 A229668 * A229670 A229671 A229672

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 27 2013

STATUS

approved

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Last modified October 16 19:23 EDT 2021. Contains 348043 sequences. (Running on oeis4.)