A friend of mine is seeking a name for a set (or multiset) of numbers that has the property (*) every number in the set is no larger than the sum of the other numbers in the set. It is easy to see that these numbers (assumed real) are those that arise as the lengths of a (possibly degenerate) polygon. I know that polygonal numbers sometimes refer to triangular, square, pentagonal,..., integers. But we cannot think of a better name for a set or multiset satisfying (*). Hoping to find something in the OEIS: I wrote a program to compute for positive integer n the number of non-empty subsets of {1,2,...,n} satisfying (*) and obtained the following sequence for n from 3 to 14. 1, 4, 13, 35, 85, 194, 425, 904, 1885, 3878, 7904, 16008 This is not in the OEIS. However, the sequence a where a(n) is the number of 3-element subsets of {1,...,n} satisfying (*) is in the OEIS as http://www.research.att.com/projects/OEIS?Anum=A002623 We welcome comments. --Edwin