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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.

A373273 a(n) = sum of all distinct multiplicities in every integer partition of n.

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%I A373273 #14 Jun 01 2024 21:07:51
%S A373273 1,3,5,11,18,29,48,74,107,161,237,324,471,648,876,1199,1632,2141,2881,
%T A373273 3754,4910,6389,8301,10570,13603,17280,21915,27614,34842,43416,54415,
%U A373273 67509,83782,103459,127685,156457,192155,234540,286112,347571,422245,510311,617216
%N A373273 a(n) = sum of all distinct multiplicities in every integer partition of n.
%C A373273 Sum of the rows of triangle A373272.
%t A373273 Table[Plus @@
%t A373273   Map[Plus @@ Union[Length /@ Split[#]] &, IntegerPartitions[n]], {n,
%t A373273   1, 40}]
%Y A373273 Cf. A006128, A373272.
%K A373273 nonn
%O A373273 1,2
%A A373273 _Olivier Gérard_, May 29 2024