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

1, 3, 5, 11, 18, 29, 48, 74, 107, 161, 237, 324, 471, 648, 876, 1199, 1632, 2141, 2881, 3754, 4910, 6389, 8301, 10570, 13603, 17280, 21915, 27614, 34842, 43416, 54415, 67509, 83782, 103459, 127685, 156457, 192155, 234540, 286112, 347571, 422245, 510311, 617216

Offset: 1

Author

Olivier Gérard, May 29 2024

Keywords

• nonn

Comments

Sum of the rows of triangle A373272.

Crossrefs

Cf. A006128, A373272.

Programs

Mathematica

Table[Plus @@
  Map[Plus @@ Union[Length /@ Split[#]] &, IntegerPartitions[n]], {n,
  1, 40}]