A023030 Number of partitions of n into 10 unordered relatively prime parts.

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 41, 55, 74, 97, 126, 164, 209, 267, 335, 423, 522, 653, 796, 983, 1189, 1455, 1737, 2112, 2504, 3012, 3548, 4242, 4953, 5888, 6837, 8063, 9321, 10936, 12551, 14663, 16763, 19451, 22155, 25608, 29003, 33400, 37707, 43184, 48614

Offset

10,3

Links

Table of n, a(n) for n=10..58.

Formula

G.f.: Sum_{k>=1} mu(k)*x^(10*k) / Product_{j=1..10} (1 - x^(j*k)). - Ilya Gutkovskiy, Aug 31 2019

Crossrefs

Column 10 of A282750.

Sequence in context: A088669 A091580 A325857 * A246580 A212187 A332280

Adjacent sequences: A023027 A023028 A023029 * A023031 A023032 A023033

Keyword

nonn

Author

David W. Wilson

Status

approved