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A234443
T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).
9
32, 120, 120, 448, 582, 448, 1680, 2804, 2804, 1680, 6272, 13676, 17200, 13676, 6272, 23520, 66228, 108404, 108404, 66228, 23520, 87808, 324556, 666880, 896112, 666880, 324556, 87808, 329280, 1578036, 4221580, 7165920, 7165920, 4221580, 1578036
OFFSET
1,1
COMMENTS
Table starts
32 120 448 1680 6272 23520
120 582 2804 13676 66228 324556
448 2804 17200 108404 666880 4221580
1680 13676 108404 896112 7165920 59991972
6272 66228 666880 7165920 72539432 790261148
23520 324556 4221580 59991972 790261148 11533082488
87808 1578036 26023136 483370700 8028682984 153582428536
329280 7767916 165444308 4098064360 88710949848 2303823299344
1229312 37908724 1021780992 33256428216 904037477472 30988558369076
4609920 187373548 6523295060 285401797556 10133236760728 477592381790200
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 14*a(n-2).
k=2: a(n) = 5*a(n-1) +24*a(n-2) -130*a(n-3) +36*a(n-4) +80*a(n-5) -32*a(n-6).
k=3: [order 16].
k=4: [order 45].
EXAMPLE
Some solutions for n=3, k=4:
1 1 1 2 1 0 1 0 0 0 1 0 1 0 2 0 1 1 1 0
2 1 0 2 0 2 2 2 1 0 0 0 0 0 1 1 1 2 1 1
2 0 0 1 0 1 0 1 1 1 1 2 1 0 2 1 2 2 0 1
2 1 0 2 0 2 2 2 1 2 0 2 0 0 1 2 2 1 0 0
CROSSREFS
Sequence in context: A203721 A231527 A298201 * A234436 A297461 A297698
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 26 2013
STATUS
approved