A023028 Number of partitions of n into 8 unordered relatively prime parts.

1, 1, 2, 3, 5, 7, 11, 15, 21, 29, 39, 52, 68, 89, 113, 146, 180, 230, 281, 351, 423, 525, 621, 764, 897, 1087, 1268, 1527, 1756, 2104, 2410, 2850, 3248, 3828, 4317, 5066, 5696, 6614, 7418, 8588, 9542, 11018, 12218, 13983, 15477, 17674, 19414, 22119, 24264

Offset: 8

Author

David W. Wilson

Keywords

• nonn

Crossrefs

Column 8 of A282750.

Formula

G.f.: Sum_{k>=1} mu(k)*x^(8*k) / Product_{j=1..8} (1 - x^(j*k)). - Ilya Gutkovskiy, Aug 31 2019