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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.
6

%I #20 Dec 21 2024 08:54:11

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

%T 10073335754,288845706742,11805287917646,254331289285523,

%U 997748503737330,45462847634946017,179126790937098750,9868487079517742715,566191988798860895880,24134174584419467066865

%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 N. K. Sinha et al., <a href="https://mathoverflow.net/q/96204">A simple looking problem in partitions that became increasingly complex</a>, MathOverflow, 2012.

%Y Cf. A020473, A269926, A378842.

%K nonn

%O 1,2

%A _Brendan McKay_ and _Max Alekseyev_, May 07 2012

%E More terms from _Jinyuan Wang_, Dec 12 2024