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 A289972 Number of sets S (cubic acute n-set), with cardinality A089676(n) >= 3, of points in {0,1}^n in real n-dimensional Euclidean space such that every angle determined by three distinct points in S is acute. 2
 0, 0, 2, 16, 352, 240, 107520, 1032837120 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Consider the 2^n points {0,1}^n in real Euclidean space. Then A089676(n) = maximal size of a subset S of these 2^n points such that there is no triple of points P,Q,R in S which subtends a right angle. That is, we are not allowed to have P-Q perpendicular to R-Q. Here we count such sets. LINKS D. Bevan, Sets of Points Determining Only Acute Angles and Some Related Coloring Problems, Electronic J. of Combinatorics, 13(1), 2006, #R12. Fausto A. C. Cariboni, Complete solutions for a(3)-a(6) Fausto A. C. Cariboni, Complete solutions for a(7) CROSSREFS Cf. A089676. Sequence in context: A012610 A012721 A297095 * A179472 A009341 A015201 Adjacent sequences:  A289969 A289970 A289971 * A289973 A289974 A289975 KEYWORD nonn,hard,more AUTHOR Fausto A. C. Cariboni, Jul 16 2017 STATUS approved

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Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)