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A347549 Number of partitions of n into 4 or more distinct parts. 7
1, 1, 2, 3, 5, 7, 10, 13, 18, 23, 30, 38, 48, 59, 73, 89, 108, 130, 156, 185, 220, 259, 304, 356, 415, 482, 559, 645, 743, 854, 979, 1119, 1278, 1455, 1654, 1878, 2127, 2405, 2717, 3063, 3449, 3879, 4356, 4885, 5474, 6125, 6846, 7645, 8527, 9501, 10579 (list; graph; refs; listen; history; text; internal format)
OFFSET
10,3
LINKS
FORMULA
G.f.: Sum_{k>=4} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
a(n) = A000009(n) - A014591(n). - Vaclav Kotesovec, Sep 14 2021
MATHEMATICA
nmax = 60; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 4, nmax}], {x, 0, nmax}], x] // Drop[#, 10] &
CROSSREFS
Sequence in context: A026811 A001401 A373078 * A008628 A363067 A038499
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 06 2021
STATUS
approved

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Last modified June 23 03:57 EDT 2024. Contains 373629 sequences. (Running on oeis4.)