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.
%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