A378842 -id:A378842 - cp's OEIS frontend

A208480 Number of representations of n as m_1/1 + m_2/2 + ... + m_n/n where m_i are nonnegative integers.

1, 3, 10, 55, 196, 2730, 10032, 108999, 973258, 20780331, 79309308, 2614200602, 10073335754, 288845706742, 11805287917646, 254331289285523, 997748503737330, 45462847634946017, 179126790937098750, 9868487079517742715, 566191988798860895880, 24134174584419467066865

Offset: 1

Brendan McKay and Max Alekseyev, May 07 2012

nonn

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

N. K. Sinha et al., A simple looking problem in partitions that became increasingly complex, MathOverflow, 2012.

Cf. A020473, A269926, A378842.

More terms from Jinyuan Wang, Dec 12 2024

A379528 Number of compositions (ordered partitions) of 1 into {1/1^2, 1/2^2, 1/3^2, ..., 1/n^2}.

Original entry on oeis.org

1, 2, 3, 97, 98, 40917543, 40917544, 2901109178066823, 81221415992592163051371926, 373220766236315864054296758124337507430, 373220766236315864054296758124337507431

Offset: 1

Ilya Gutkovskiy, Dec 24 2024

Index entries for sequences related to Egyptian fractions

Cf. A000290, A020473, A038034, A348625, A378270, A378842.

a(p) = a(p-1) + 1 for p prime. - Chai Wah Wu, Dec 27 2024

a(6)-a(11) from Alois P. Heinz, Dec 26 2024

cp's OEIS Frontend

A208480 Number of representations of n as m_1/1 + m_2/2 + ... + m_n/n where m_i are nonnegative integers.

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