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

9,3

Links

Table of n, a(n) for n=9..57.

Formula

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

Crossrefs

Column 9 of A282750.

Sequence in context: A035978 A319475 A319454 * A358909 A035987 A035997

Adjacent sequences: A023026 A023027 A023028 * A023030 A023031 A023032

Keyword

nonn

Author

David W. Wilson

Status

approved