A023029 Number of partitions of n into 9 unordered relatively prime parts.

1, 1, 2, 3, 5, 7, 11, 15, 22, 29, 41, 53, 73, 92, 123, 154, 201, 247, 317, 386, 488, 586, 732, 872, 1074, 1269, 1549, 1812, 2194, 2551, 3055, 3535, 4206, 4824, 5708, 6521, 7645, 8701, 10156, 11476, 13338, 15022, 17332, 19468, 22380, 24984, 28627, 31885, 36306

Offset: 9

Author

David W. Wilson

Keywords

• nonn

Crossrefs

Column 9 of A282750.

Formula

G.f.: Sum_{k>=1} mu(k)*x^(9*k) / Product_{j=1..9} (1 - x^(j*k)). - Ilya Gutkovskiy, Aug 31 2019