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A234898 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 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 8
160, 760, 760, 3456, 4024, 3456, 16572, 20404, 20404, 16572, 76032, 115924, 113288, 115924, 76032, 365024, 625480, 743436, 743436, 625480, 365024, 1676576, 3640580, 4634504, 5941320, 4634504, 3640580, 1676576, 8050184, 19965444, 32110856 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
160 760 3456 16572 76032 365024
760 4024 20404 115924 625480 3640580
3456 20404 113288 743436 4634504 32110856
16572 115924 743436 5941320 44518632 385262124
76032 625480 4634504 44518632 399820568 4244726408
365024 3640580 32110856 385262124 4244726408 57645698844
1676576 19965444 208211944 3064189932 41268054688 700047980248
8050184 117487100 1482491852 27702518548 464573800208 10265376879740
36980544 648180128 9763925800 225962416092 4675921747384 130326665117372
177566656 3842929120 70741188392 2102864178560 54793760749712
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 30*a(n-2) -194*a(n-4) +428*a(n-6) -288*a(n-8) +48*a(n-10).
k=2: [order 51].
EXAMPLE
Some solutions for n=3, k=4:
3 5 1 6 3 3 5 4 5 2 4 5 4 6 4 4 6 4 5 2
0 3 0 4 0 0 3 1 3 1 0 2 0 1 0 0 1 0 2 0
1 5 1 6 3 2 6 3 6 5 4 5 2 4 2 3 5 3 6 3
0 3 0 4 2 0 5 1 3 1 2 4 0 3 0 2 3 0 4 0
CROSSREFS
Sequence in context: A233910 A234658 A234651 * A234891 A305272 A234450
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 01 2014
STATUS
approved

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Last modified May 22 06:48 EDT 2024. Contains 372743 sequences. (Running on oeis4.)