Sequence studied by Cameron and Erdos

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Neil Sloane

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May 10, 2025, 3:06:35 PM5/10/25
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Dear SeqFans, I just came across this paper:

P. J. Cameron and P. Erdős, <a href="https://www.researchgate.net/publication/247043302_On_the_number_of_sets_of_integers_with_various_properties">On the number of integers with various properties</a>, in R. A. Mullin, ed., Number Theory: Proc. First Conf. of Canad. Number Theory Assoc. Conf., Banff, De Gruyter, Berlin, 1990, pp. 61-79. 

which studies sequences with various properties, such as the number of sum-free subsets of [1,n] (meaning subsets of [1,n] containing no solution to x+y=z). This is A007865, and this was the only sequence in the OEIS where this paper was mentioned.

But there are many other sequences in the paper, and maybe some SeqFans could go through it and add those sequences to the OEIS, or add the link if they are already in the OEIS.

I just did this for product-free subsets: I added the link to A326116.  I also added it to A326496 and A121269. which deal with maximal product-free subsets.

But the paper contains many other sequences, starting in Section 2.2.  This looks like a fun project, but I can't spend any more time on it.  I can send anyone a copy of the paper if you have trouble downloading it.

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