A023025 Number of partitions of n into 5 unordered relatively prime parts.

1, 1, 2, 3, 5, 6, 10, 12, 18, 21, 29, 34, 47, 51, 70, 77, 99, 109, 141, 148, 191, 203, 250, 268, 333, 340, 427, 443, 530, 556, 671, 679, 831, 848, 996, 1028, 1226, 1219, 1469, 1483, 1712, 1757, 2062, 2035, 2416, 2413, 2771, 2813, 3266, 3200, 3754, 3739, 4249

Offset

5,3

Links

Table of n, a(n) for n=5..57.

Formula

G.f.: Sum_{k>=1} mu(k)*x^(5*k) / Product_{j=1..5} (1 - x^(j*k)). - Ilya Gutkovskiy, Aug 31 2019

Crossrefs

Column 5 of A282750.

Sequence in context: A027593 A115029 A241443 * A130898 A199016 A088314

Adjacent sequences: A023022 A023023 A023024 * A023026 A023027 A023028

Keyword

nonn

Author

David W. Wilson

Status

approved