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A339672 Number of partitions of n into 7 distinct and relatively prime parts. 6
1, 1, 2, 3, 5, 7, 11, 15, 21, 28, 38, 49, 65, 82, 105, 131, 164, 201, 248, 300, 364, 436, 522, 618, 733, 860, 1009, 1175, 1366, 1579, 1823, 2093, 2398, 2738, 3117, 3539, 4006, 4526, 5095, 5731, 6419, 7190, 8018, 8946, 9932, 11044, 12213, 13534, 14912, 16475, 18089, 19928, 21808 (list; graph; refs; listen; history; text; internal format)
OFFSET

28,3

LINKS

Table of n, a(n) for n=28..80.

FORMULA

G.f.: Sum_{k>=1} mu(k)* x^(28*k) / Product_{j=1..7} (1 - x^(j*k)).

MATHEMATICA

nmax = 80; CoefficientList[Series[Sum[MoebiusMu[k] x^(28 k)/Product[1 - x^(j k), {j, 1, 7}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 28] &

CROSSREFS

Cf. A023022, A023027, A023032, A078374, A101271, A340719, A341868, A341870, A341912, A341913, A341914.

Sequence in context: A319472 A309099 A218507 * A026813 A008636 A008630

Adjacent sequences:  A339669 A339670 A339671 * A339673 A339674 A339675

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 23 2021

STATUS

approved

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Last modified May 17 15:07 EDT 2021. Contains 343979 sequences. (Running on oeis4.)