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

1,2

Comments

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

Links

Table of n, a(n) for n=1..22.

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

Crossrefs

Cf. A020473, A269926, A378842.

Sequence in context: A074503 A318188 A229311 * A342966 A359976 A034234

Adjacent sequences: A208477 A208478 A208479 * A208481 A208482 A208483

Keyword

nonn

Author

Brendan McKay and Max Alekseyev, May 07 2012

Extensions

More terms from Jinyuan Wang, Dec 12 2024

Status

approved