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).

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

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