[seqfan] Re: Is a partition with distinct parts and maximum product of parts, unique ?

Frank Adams-watters franktaw at netscape.net
Thu Sep 12 08:12:28 CEST 2019


This follows easity from the theorem of Doslic, referenced from A034893.

Franklin T. Adams-Watters


-----Original Message-----
From: Jean-François Alcover <jf.alcover at gmail.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Thu, Sep 12, 2019 12:22 am
Subject: [seqfan] Is a partition with distinct parts and maximum product of parts, unique ?

[This is about  https://oeis.org/A034893 ]
A theorem quoted by Sills & Schneider :
<< Theorem 11 (Anonymous). Among all partitions of n >= 1,
the partition with maximum norm is [...] >>
implies it's true, but I'd like to get an explicit proof
(a proof I'm unfortunately unable to find ! ).
Thanks in advance for any help,
jfa

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