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Search: id:A059254
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| A059254 |
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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). |
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+0
1
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| 2, 4, 6, 10, 14, 18, 22, 32, 42, 52, 66, 82, 108
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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.
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REFERENCES
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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).
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CROSSREFS
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Sequence in context: A139544 A062091 A100143 this_sequence A024518 A128422 A098380
Adjacent sequences: A059251 A059252 A059253 this_sequence A059255 A059256 A059257
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KEYWORD
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hard,nonn
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AUTHOR
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Ulrich H. Kortenkamp (kortenkamp(AT)inf.fu-berlin.de), Jan 23 2001
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