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

8,3

Links

Table of n, a(n) for n=8..56.

Formula

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

Crossrefs

Column 8 of A282750.

Sequence in context: A355027 A332745 A042953 * A246579 A232480 A332638

Adjacent sequences: A023025 A023026 A023027 * A023029 A023030 A023031

Keyword

nonn

Author

David W. Wilson

Status

approved