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A minimal sequence of weights with distinct weighings, with limit of two weights per pan.
1

%I #9 Apr 12 2023 10:52:40

%S 2,3,9,25,67,167,427,966

%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 number 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.

%K more,nice,nonn

%O 0,1

%A _Ed Pegg Jr_