cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A292432 Number of normal multisets that cannot be expressed as the multiset-union of a set of sets.

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%I A292432 #36 Mar 30 2025 09:49:52
%S A292432 0,1,1,3,5,9,16,27,46,76,130,203,350,554,890,1474,2285,3732,5852,9297,
%T A292432 14628,22936,35903,55893,86967,134585,207934,321122,492634,757490
%N A292432 Number of normal multisets that cannot be expressed as the multiset-union of a set of sets.
%C A292432 A multiset is normal if it spans an initial interval of positive integers. Most normal multisets can be expressed as the multiset-union of a set of sets. For example, {1,1,2,2} is the multiset-union of {{1},{2},{1,2}}.
%e A292432 The a(6) = 9 multisets are: {1,1,1,1,1,1}, {1,1,1,1,1,2}, {1,1,1,1,2,2}, {1,1,1,1,2,3}, {1,1,1,2,2,2}, {1,1,2,2,2,2}, {1,2,2,2,2,2}, {1,2,2,2,2,3}, {1,2,3,3,3,3}.
%Y A292432 Cf. A049311, A089259, A116540, A283877, A292444.
%K A292432 nonn,more
%O A292432 1,4
%A A292432 _Gus Wiseman_, Oct 02 2017
%E A292432 a(11)-a(30) from _Bert Dobbelaere_, Mar 30 2025