Nonaveraging Sequence

N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.

An infinite sequence of Positive Integers

References

Behrend, F. ``On Sets of Integers which Contain no Three Terms in an Arithmetic Progression.'' Proc. Nat. Acad. Sci. USA 32, 331-332, 1946.

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/erdos/erdos.html

Gerver, J. L. ``The Sum of the Reciprocals of a Set of Integers with No Arithmetic Progression of Terms.'' Proc. Amer. Math. Soc. 62, 211-214, 1977.

Gerver, J. L. and Ramsey, L. ``Sets of Integers with no Long Arithmetic Progressions Generated by the Greedy Algorithm.'' Math. Comput. 33, 1353-1360, 1979.

Guy, R. K. ``Nonaveraging Sets. Nondividing Sets.'' §C16 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 131-132, 1994.

Wróblewski, J. ``A Nonaveraging Set of Integers with a Large Sum of Reciprocals.'' Math. Comput. 43, 261-262, 1984.

• Smale-Hirsch Theorem
• Smale Horseshoe Map
• Small Cubicuboctahedron
• Small Ditrigonal Dodecacronic Hexecontahedron
• Small Ditrigonal Dodecicosidodecahedron
• Small Ditrigonal Icosidodecahedron
• Small Dodecacronic Hexecontahedron
• Small Dodecahemicosacron
• Small Dodecahemicosahedron
• Small Dodecahemidodecacron
• Small Dodecahemidodecahedron
• Small Dodecicosacron
• Small Dodecicosahedron
• Small Dodecicosidodecahedron
• Small Hexacronic Icositetrahedron
• Small Hexagonal Hexecontahedron
• Small Hexagrammic Hexecontahedron
• Small Icosacronic Hexecontahedron
• Small Icosicosidodecahedron
• Small Icosihemidodecacron
• Small Icosihemidodecahedron
• Small Inverted Retrosnub Icosicosidodecahedron
• Axial Vector
• Axiom
• Axiom A Diffeomorphism