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!)
A235078 T(n,k) is the number of (n+1) X (k+1) 0..7 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). 7
288, 1828, 1828, 11976, 12228, 11976, 79848, 86704, 86704, 79848, 534008, 644188, 676192, 644188, 534008, 3577048, 4832976, 5686836, 5686836, 4832976, 3577048, 23966856, 36598068, 48272960, 55735596, 48272960, 36598068, 23966856 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

         288         1828         11976         79848         534008

        1828        12228         86704        644188        4832976

       11976        86704        676192       5686836       48272960

       79848       644188       5686836      55735596      552618120

      534008      4832976      48272960     552618120     6369625168

     3577048     36598068     417137872    5629225056    76480296484

    23966856    278216484    3604917936   57334595276   910186153752

   160608008   2124989472   31461207572  593260934340 11128033519340

  1076281720  16281513720  274289989296 6129703359580

  7212695512 125246817248 2412618175328

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 61*a(n-2) -813*a(n-4) +4271*a(n-6) -9694*a(n-8) +8264*a(n-10) -1536*a(n-12).

k=2: [order 73].

EXAMPLE

Some solutions for n=2, k=4:

  4 7 2 0 4      2 3 2 6 2      6 4 0 4 2      6 4 0 2 0

  0 6 4 5 6      0 4 6 7 6      4 5 4 5 0      2 3 2 7 2

  4 7 2 6 4      2 3 2 0 2      0 4 0 4 2      4 2 4 6 4

CROSSREFS

Sequence in context: A250871 A128392 A296784 * A235072 A235769 A049230

Adjacent sequences:  A235075 A235076 A235077 * A235079 A235080 A235081

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 19 07:13 EDT 2022. Contains 356216 sequences. (Running on oeis4.)