login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A235071 T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 8
168, 848, 848, 4352, 4348, 4352, 22576, 22936, 22936, 22576, 117232, 125196, 126040, 125196, 117232, 609412, 685028, 727376, 727376, 685028, 609412, 3167392, 3780180, 4212792, 4548100, 4212792, 3780180, 3167392, 16467664, 20896656, 24652260 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

        168        848        4352        22576        117232        609412

        848       4348       22936       125196        685028       3780180

       4352      22936      126040       727376       4212792      24652260

      22576     125196      727376      4548100      28470232     181669172

     117232     685028     4212792     28470232     192475088    1333866324

     609412    3780180    24652260    181669172    1333866324   10169860740

    3167392   20896656   144439680   1158928396    9228249720   77175918060

   16467664  116103776   851021376   7478244692   64770384460  600121202116

   85596352  646515740  5022415256  48319836696  454460234224 4656911119264

  445030452 3615891056 29788907152 315434737336 3229635581416

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: a(n) = 35*a(n-2) -235*a(n-4) +543*a(n-6) -458*a(n-8) +96*a(n-10).

k=2: [order 40].

EXAMPLE

Some solutions for n=3, k=4:

  0 2 1 5 3      3 5 4 5 6      0 2 4 6 4      0 1 0 4 3

  4 3 5 6 1      4 3 5 3 1      1 6 5 4 5      1 5 1 2 4

  3 5 4 2 0      5 1 0 1 2      0 2 4 6 4      0 1 0 4 3

  2 1 3 4 5      6 5 1 5 3      2 1 6 5 0      2 0 2 3 5

CROSSREFS

Sequence in context: A251461 A110285 A302887 * A235064 A070835 A112551

Adjacent sequences:  A235068 A235069 A235070 * A235072 A235073 A235074

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 03 2014

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 15 10:45 EDT 2022. Contains 356145 sequences. (Running on oeis4.)