A023026 - OEIS

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A023026

Number of partitions of n into 6 unordered relatively prime parts.

1, 1, 2, 3, 5, 7, 10, 14, 19, 26, 33, 44, 54, 71, 85, 109, 129, 163, 186, 235, 268, 328, 371, 454, 500, 612, 674, 804, 887, 1056, 1138, 1360, 1469, 1715, 1853, 2172, 2302, 2702, 2873, 3302, 3529, 4070, 4262, 4934, 5187, 5898, 6228, 7104, 7374, 8435, 8799, 9904

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OFFSET

6,3

LINKS

Table of n, a(n) for n=6..57.

FORMULA

G.f.: Sum_{k>=1} mu(k)*x^(6*k) / Product_{j=1..6} (1 - x^(j*k)). - Ilya Gutkovskiy, Aug 31 2019

CROSSREFS

Column 6 of A282750.

Sequence in context: A036469 A238658 A116480 * A096778 A325862 A280277

Adjacent sequences: A023023 A023024 A023025 * A023027 A023028 A023029

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved