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A341913 Number of partitions of n into 9 distinct and relatively prime parts. 6
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 41, 54, 73, 94, 123, 157, 201, 252, 318, 393, 488, 598, 732, 887, 1076, 1291, 1549, 1845, 2194, 2592, 3060, 3589, 4206, 4904, 5708, 6615, 7657, 8824, 10156, 11648, 13338, 15224, 17354, 19720, 22380, 25330, 28629, 32277, 36347, 40829, 45812, 51291, 57358 (list; graph; refs; listen; history; text; internal format)
OFFSET

45,3

LINKS

Table of n, a(n) for n=45..97.

FORMULA

G.f.: Sum_{k>=1} mu(k)* x^(45*k) / Product_{j=1..9} (1 - x^(j*k)).

MATHEMATICA

nmax = 97; CoefficientList[Series[Sum[MoebiusMu[k] x^(45 k)/Product[1 - x^(j k), {j, 1, 9}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 45] &

CROSSREFS

Cf. A023022, A023029, A023034, A078374, A101271, A339672, A340719, A341868, A341870, A341912, A341914.

Sequence in context: A309058 A218509 A026815 * A008638 A008632 A238867

Adjacent sequences:  A341910 A341911 A341912 * A341914 A341915 A341916

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 23 2021

STATUS

approved

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Last modified June 22 13:46 EDT 2021. Contains 345380 sequences. (Running on oeis4.)