Geodesic
Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by Herbert Wilf
James Allen Fill1 ; Svante Janson2 ; Mark Daniel Ward3
1The Johns Hopkins University
2Uppsala University
3Purdue University
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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Wilf's Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We refer to these as Wilf partitions. Using $f(n)$ to denote the number of Wilf partitions, we establish lead-order asymptotics for $\ln{f(n)}$.
DOI : 10.37236/2128
Classification : 05A16, 05A17, 68W40
Mots-clés : asymptotic enumeration, partitions of integers, Wilf partitions

James Allen Fill  1   ; Svante Janson  2   ; Mark Daniel Ward  3

1 The Johns Hopkins University
2 Uppsala University
3 Purdue University 
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     title = {Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by {Herbert} {Wilf}},
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James Allen Fill; Svante Janson; Mark Daniel Ward. Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by Herbert Wilf. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2128

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