A025591 and subset sums

T. D. Noe noe at sspectra.com
Fri Dec 12 18:29:25 CET 2003

>> > If my memory is not mistaken, sequence A025591 is related to the following
>> > paper :
>> >
>> > Robert A. Proctor
>> > Solution of two difficult combinatorial problems with linear algebra,
>> > American Mathematical Monthly 89, 721-734.
>> Here's the abstract. I don't see the connection.
>A025591(n) is the maximal number of subsets of $\{1,2,\dots,n\}$ that
>share the same sum:

The same idea can be used on subsets of other sequences:

A025591 uses integers {1,2,3,...n}
A083309 uses odd primes
A083527 uses squares of integers

So this operation transforms one sequence into another.  What is the
inverse transform?


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