login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A229672 T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order. 9
0, 0, 0, 1, 4, 1, 3, 61, 61, 3, 12, 652, 1555, 652, 12, 50, 5048, 19805, 19805, 5048, 50, 210, 33152, 194575, 328160, 194575, 33152, 210, 861, 197248, 1673561, 4331928, 4331928, 1673561, 197248, 861, 3416, 1098752, 13271403, 50919512, 78681904 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 12*a(n-1) - 57*a(n-2) + 136*a(n-3) - 171*a(n-4) + 108*a(n-5) - 27*a(n-6) for n > 9.

k=2: a(n) = 12*a(n-1) - 48*a(n-2) + 64*a(n-3) for n > 6.

k=3: [order 6] for n > 7.

k=4: [order 12] for n > 14.

k=5: [order 27] for n > 29.

k=6: [order 63] for n > 65.

EXAMPLE

Some solutions for n=3, k=4:

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

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

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

Table starts

...0.......0........1..........3...........12.............50.............210

...0.......4.......61........652.........5048..........33152..........197248

...1......61.....1555......19805.......194575........1673561........13271403

...3.....652....19805.....328160......4331928.......50919512.......557478448

..12....5048...194575....4331928.....78681904.....1289285440.....19833096240

..50...33152..1673561...50919512...1289285440....29775277216....649844491552

.210..197248.13271403..557478448..19833096240...649844491552..20240623720512

.861.1098752.99602405.5814322288.292113020848.13636997291008.608439629860544

CROSSREFS

Sequence in context: A301510 A085471 A064221 * A298568 A152890 A143354

Adjacent sequences:  A229669 A229670 A229671 * A229673 A229674 A229675

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 27 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 28 04:43 EDT 2021. Contains 348313 sequences. (Running on oeis4.)