A234245 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 2 (constant-stress 1 X 1 tilings).

630, 6706, 6706, 72616, 99630, 72616, 790718, 1520024, 1520024, 790718, 8612920, 23428586, 32965378, 23428586, 8612920, 93934380, 361889580, 725628904, 725628904, 361889580, 93934380, 1023822944, 5604275160, 16021165696

Offset

1,1

Comments

Table starts

630 6706 72616 790718 8612920

6706 99630 1520024 23428586 361889580

72616 1520024 32965378 725628904 16021165696

790718 23428586 725628904 22918035530 726655747532

8612920 361889580 16021165696 726655747532 33111026973070

93934380 5604275160 354931091338 23141164047392 1516841073336664

1023822944 86776363660 7860119921126 736603691141316

11170450750 1346057282610 174432581257432

121790634482 20871073347970

1329240620840

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 8].

k=2: [order 45].

Example

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

Crossrefs

Sequence in context: A295769 A110904 A171258 * A234241 A185849 A058832

Adjacent sequences: A234242 A234243 A234244 * A234246 A234247 A234248

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 21 2013

Status

approved