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A234672
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 4 (constant-stress 1 X 1 tilings).
6
492, 3816, 3816, 29568, 28860, 29568, 229272, 217968, 217968, 229272, 1778412, 1648188, 1604020, 1648188, 1778412, 13801056, 12470688, 11826092, 11826092, 12470688, 13801056, 107144508, 94430072, 87273500, 85076140, 87273500
OFFSET
1,1
COMMENTS
Table starts
492 3816 29568 229272 1778412 13801056
3816 28860 217968 1648188 12470688 94430072
29568 217968 1604020 11826092 87273500 644848264
229272 1648188 11826092 85076140 612823800 4421960468
1778412 12470688 87273500 612823800 4310166424 30383174872
13801056 94430072 644848264 4421960468 30383174872
107144508 715532392 4769561472 31951474920
832197192 5425977036 35319420856
6466444032 41174389648
50269824456
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 7].
k=2: [order 31].
EXAMPLE
Some solutions for n=2, k=4:
6 0 5 3 4 2 0 6 0 3 4 2 0 0 6 0 2 4 6 3
4 2 3 5 2 2 4 6 4 3 2 4 6 2 4 0 6 4 2 3
0 2 7 5 6 4 2 0 2 5 4 2 0 0 6 4 6 0 2 7
CROSSREFS
Sequence in context: A229520 A226715 A205819 * A234667 A231455 A007242
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 29 2013
STATUS
approved