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

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..16.

Karan, A simple looking problem in partitions that became increasingly complex, discussion at MathOverflow.

Crossrefs

Cf. A020473

Sequence in context: A074503 A318188 A229311 * A342966 A359976 A034234

Adjacent sequences: A208477 A208478 A208479 * A208481 A208482 A208483

Keyword

nonn,more

Author

Brendan McKay and Max Alekseyev, May 07 2012

Status

approved