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A341914 Number of partitions of n into 10 distinct and relatively prime parts. 7
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 55, 75, 97, 128, 164, 212, 267, 340, 423, 530, 653, 807, 984, 1204, 1455, 1761, 2112, 2534, 3015, 3590, 4242, 5013, 5888, 6912, 8070, 9418, 10936, 12690, 14663, 16928, 19466, 22367, 25608, 29292, 33401, 38047, 43214, 49037, 55494, 62740, 70760, 79725, 89623 (list; graph; refs; listen; history; text; internal format)
OFFSET

55,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 55..1000

FORMULA

G.f.: Sum_{k>=1} mu(k)* x^(55*k) / Product_{j=1..10} (1 - x^(j*k)).

a(n) <= A008639(n-55), equality for n<110. - R. J. Mathar, Feb 28 2021

MATHEMATICA

nmax = 108; CoefficientList[Series[Sum[MoebiusMu[k] x^(55 k)/Product[1 - x^(j k), {j, 1, 10}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 55] &

CROSSREFS

Cf. A023022, A023030, A023035, A078374, A101271, A339672, A340719, A341868, A341870, A341912, A341913.

Sequence in context: A218510 A026816 A008639 * A008633 A238868 A035999

Adjacent sequences:  A341911 A341912 A341913 * A341915 A341916 A341917

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 23 2021

STATUS

approved

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Last modified May 9 15:34 EDT 2021. Contains 343742 sequences. (Running on oeis4.)