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A059254
Size of maximal subset of the Sobol sequence (projection of a 0/1-cube with the projection vectors b_i=(i,rev(i)), where rev(i) is the value of the reversed binary representation of i).
0
2, 4, 6, 10, 14, 18, 22, 32, 42, 52, 66, 82, 108
OFFSET
1,1
COMMENTS
Also currently the maximal size of the boundary length of a projection of a 0/1-polytope into the plane. The values have been found by a dynamic programming algorithm for dimensions up to 13. For higher values the memory requirements of the algorithm exceed current capacities.
REFERENCES
Kortenkamp, U.H.; Richter-Gebert, J.; Sarangarajan, A.; Ziegler, G.M. Extremal properties of 0/1-polytopes. (English) Discrete Comput. Geom. 17, No.4, 439-448 (1997).
Rote, G.; Tichy, R.F. Quasi-Monte-Carlo methods and the dispersion of point sequences. (English) [J] Math. Comput. Modelling 23, No.8-9, 9-23 (1996).
CROSSREFS
Sequence in context: A234941 A303744 A362488 * A024518 A128422 A309882
KEYWORD
hard,nonn
AUTHOR
Ulrich H. Kortenkamp (kortenkamp(AT)inf.fu-berlin.de), Jan 23 2001
STATUS
approved