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Number of representations of n as m_1/1 + m_2/2 + ... + m_n/n where m_i are nonnegative integers.
5

%I #13 May 07 2012 19:57:58

%S 1,3,10,55,196,2730,10032,108999,973258,20780331,79309308,2614200602,

%T 10073335754,288845706742,11805287917646,254331289285523

%N Number of representations of n as m_1/1 + m_2/2 + ... + m_n/n where m_i are nonnegative integers.

%C Number of unordered partitions of n into reciprocals of positive integers <= n.

%H Karan, <a href="http://mathoverflow.net/questions/96204/a-simple-looking-problem-in-partitions-that-became-increasingly-complex">A simple looking problem in partitions that became increasingly complex</a>, discussion at MathOverflow.

%Y Cf. A020473

%K nonn,more

%O 1,2

%A _Brendan McKay_ and _Max Alekseyev_, May 07 2012