A234233 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 (constant-stress 1 X 1 tilings).

568, 5260, 5260, 48592, 57912, 48592, 449880, 635904, 635904, 449880, 4160672, 7024396, 8260920, 7024396, 4160672, 38547120, 77499592, 108591688, 108591688, 77499592, 38547120, 356781376, 859364784, 1418241440, 1709929028, 1418241440

Offset

1,1

Comments

Table starts

568 5260 48592 449880 4160672

5260 57912 635904 7024396 77499592

48592 635904 8260920 108591688 1418241440

449880 7024396 108591688 1709929028 26695387444

4160672 77499592 1418241440 26695387444 493912218368

38547120 859364784 18729039912 424316463256 9404301310916

356781376 9519608332 245685138024 6683714234372

3308068320 106004400596 3261204356760

30642026624 1179099470276

284343188160

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: a(n) = 182*a(n-2) -9024*a(n-4) +66960*a(n-6).

k=2: [order 40].

Example

Some solutions for n=2, k=4:
  0 0 6 6 6      4 4 2 3 7      0 0 4 4 2      0 2 0 6 1
  6 3 6 3 0      2 5 0 4 5      4 1 2 5 6      2 1 2 5 3
  6 0 6 6 6      4 4 2 3 7      6 0 4 4 2      0 2 0 6 1

Crossrefs

Sequence in context: A087424 A134922 A322688 * A234228 A184682 A223164

Adjacent sequences: A234230 A234231 A234232 * A234234 A234235 A234236

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 21 2013

Status

approved