%N A minimal sequence of weights with distinct weighings, with limit of two weights per pan.
%D Discovered by Denis Borris and Ed Pegg Jr.
%H Ed Pegg, Jr., <a href="http://mathpuzzle.com/Solution.htm">COMMENTARY ON WEEKLY PUZZLES</a>
%e The first n weights give the # of distinct combinations given in A037255. The weights 1, 3, 9, 27, 81, 243, 729 also work for this problem, but are not distinct. Further numbers are calculable.
%Y Cf. A037255.
%A _Ed Pegg Jr_