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A234555 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 3 (constant-stress 1 X 1 tilings). 6
360, 2716, 2716, 20416, 22458, 20416, 153752, 184816, 184816, 153752, 1157728, 1527660, 1659728, 1527660, 1157728, 8726336, 12632704, 15022720, 15022720, 12632704, 8726336, 65777344, 104793676, 135896344, 149584336, 135896344 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
360 2716 20416 153752 1157728
2716 22458 184816 1527660 12632704
20416 184816 1659728 15022720 135896344
153752 1527660 15022720 149584336 1489279544
1157728 12632704 135896344 1489279544 16292204064
8726336 104793676 1236987584 14987310200 181336703944
65777344 870061872 11259287952 150974940800 2016799098648
496308128 7247511972 103178794676 1539878118344 22906568942748
3744934912 60427123392 945421176696 15724391364084
28286490944 505598378732 8728777849856
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 118*a(n-2) -3660*a(n-4) +10800*a(n-6).
k=2: [order 34].
EXAMPLE
Some solutions for n=2, k=4:
0 2 3 2 6 0 3 6 6 6 0 4 1 2 4 0 0 4 3 4
3 2 0 2 3 0 6 6 3 0 4 5 5 3 2 3 0 1 3 1
0 2 3 2 0 0 3 6 6 0 4 2 5 0 2 2 2 6 5 0
CROSSREFS
Sequence in context: A205514 A056390 A056380 * A234550 A024185 A033592
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 28 2013
STATUS
approved

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Last modified July 17 19:13 EDT 2024. Contains 374377 sequences. (Running on oeis4.)