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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.

A292444 Number of non-isomorphic finite multisets that cannot be expressed as the multiset-union of a set of sets.

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%I A292444 #28 Apr 01 2025 03:28:50
%S A292444 0,1,1,2,3,5,6,9,12,17,22,30,39,50,65,83,105,131,167,207,257,317,391,
%T A292444 478,585,708,864,1037,1252,1498
%N A292444 Number of non-isomorphic finite multisets that cannot be expressed as the multiset-union of a set of sets.
%C A292444 Non-isomorphic finite multisets correspond to integer partitions. For example, the partition (3221) corresponds to the multiset {1,1,1,2,2,3,3,4}.
%e A292444 Representatives of the a(7) = 6 multisets are: {1,1,1,1,1,1,1}, {1,1,1,1,1,1,2}, {1,1,1,1,1,2,2}, {1,1,1,1,1,2,3}, {1,1,1,1,2,2,2}, {1,1,1,1,2,2,3}.
%Y A292444 Cf. A049311, A089259, A116540, A283877, A292432.
%K A292444 nonn,more
%O A292444 1,4
%A A292444 _Gus Wiseman_, Oct 02 2017
%E A292444 a(12)-a(30) from _Bert Dobbelaere_, Mar 30 2025