A023027 Number of partitions of n into 7 unordered relatively prime parts.

1, 1, 2, 3, 5, 7, 11, 14, 21, 27, 38, 47, 65, 79, 104, 126, 164, 193, 248, 289, 362, 421, 522, 594, 733, 832, 1004, 1137, 1366, 1523, 1824, 2028, 2389, 2655, 3120, 3420, 4011, 4395, 5079, 5567, 6430, 6962, 8032, 8695, 9915, 10744, 12241, 13123, 14945, 16038, 18073

Offset

7,3

Links

Table of n, a(n) for n=7..57.

Formula

G.f.: Sum_{k>=1} mu(k)*x^(7*k) / Product_{j=1..7} (1 - x^(j*k)). - Ilya Gutkovskiy, Aug 31 2019

Crossrefs

Column 7 of A282750.

Sequence in context: A035961 A051056 A055803 * A051014 A035968 A112581

Adjacent sequences: A023024 A023025 A023026 * A023028 A023029 A023030

Keyword

nonn

Author

David W. Wilson

Status

approved