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A340719 Number of partitions of n into 8 distinct and relatively prime parts. 6
1, 1, 2, 3, 5, 7, 11, 15, 22, 29, 40, 52, 70, 89, 116, 146, 186, 230, 288, 352, 434, 525, 638, 764, 919, 1090, 1297, 1527, 1801, 2104, 2462, 2857, 3319, 3828, 4417, 5066, 5811, 6630, 7563, 8588, 9747, 11018, 12447, 14012, 15760, 17674, 19798, 22122, 24688, 27493, 30573, 33940, 37616 (list; graph; refs; listen; history; text; internal format)
OFFSET

36,3

LINKS

Table of n, a(n) for n=36..88.

FORMULA

G.f.: Sum_{k>=1} mu(k)* x^(36*k) / Product_{j=1..8} (1 - x^(j*k)).

MATHEMATICA

nmax = 88; CoefficientList[Series[Sum[MoebiusMu[k] x^(36 k)/Product[1 - x^(j k), {j, 1, 8}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 36] &

CROSSREFS

Cf. A023022, A023028, A023033, A078374, A101271, A339672, A341868, A341870, A341912, A341913, A341914.

Sequence in context: A330640 A319474 A218508 * A026814 A008637 A008631

Adjacent sequences:  A340716 A340717 A340718 * A340720 A340721 A340722

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 23 2021

STATUS

approved

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Last modified August 13 07:13 EDT 2022. Contains 356078 sequences. (Running on oeis4.)