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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).
5
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 21 2013
STATUS
approved