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

Author

David W. Wilson

Keywords

• nonn

Crossrefs

Column 10 of A282750.

Formula

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