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A347544 Number of partitions of n into 8 or more parts. 4
1, 2, 4, 7, 12, 19, 30, 45, 67, 96, 137, 190, 263, 356, 480, 637, 842, 1098, 1427, 1835, 2351, 2986, 3780, 4749, 5949, 7405, 9190, 11344, 13966, 17111, 20913, 25454, 30908, 37393, 45141, 54315, 65222, 78090, 93317, 111220, 132323, 157050, 186088, 220015, 259716 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,2
LINKS
FORMULA
G.f.: Sum_{k>=8} x^k / Product_{j=1..k} (1 - x^j).
MATHEMATICA
nmax = 52; CoefficientList[Series[Sum[x^k/Product[(1 - x^j), {j, 1, k}], {k, 8, nmax}], {x, 0, nmax}], x] // Drop[#, 8] &
CROSSREFS
Sequence in context: A343940 A288343 A298414 * A288344 A347545 A288345
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 06 2021
STATUS
approved

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Last modified June 19 16:22 EDT 2024. Contains 373503 sequences. (Running on oeis4.)