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A373273
a(n) = sum of all distinct multiplicities in every integer partition of n.
2
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
1,2
COMMENTS
Sum of the rows of triangle A373272.
MATHEMATICA
Table[Plus @@
Map[Plus @@ Union[Length /@ Split[#]] &, IntegerPartitions[n]], {n,
1, 40}]
CROSSREFS
Sequence in context: A128949 A070316 A298121 * A244473 A023597 A281357
KEYWORD
nonn
AUTHOR
Olivier Gérard, May 29 2024
STATUS
approved