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The number of numerical sets S with atom monoid A(S) equal to {0,n+1,n+2,n+3,n+4,...}
3

%I #10 Jan 30 2020 07:19:42

%S 1,2,3,6,10,20,37,74,140,280,542,1084,2118,4236,8337,16674

%N The number of numerical sets S with atom monoid A(S) equal to {0,n+1,n+2,n+3,n+4,...}

%H S. R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/">Monoids of natural numbers</a>

%H S. R. Finch, <a href="/A066062/a066062.pdf">Monoids of natural numbers</a>, March 17, 2009. [Cached copy, with permission of the author]

%H J. Marzuola and A. Miller, <a href="http://arxiv.org/abs/0805.3493">Counting Numerical Sets with No Small Atoms</a>, arXiv:0805.3493 [math.CO], 2008.

%H J. Marzuola and A. Miller, <a href="https://doi.org/10.1016/j.jcta.2010.03.002">Counting numerical sets with no small atoms</a>, J. Combin. Theory A 117 (6) (2010) 650-667.

%Y Cf. A066062.

%K nonn,more

%O 1,2

%A _Steven Finch_, Mar 15 2009