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A347543 Number of partitions of n into 7 or more parts. 4
1, 2, 4, 7, 12, 19, 30, 45, 66, 95, 134, 186, 255, 345, 461, 611, 801, 1043, 1346, 1727, 2199, 2787, 3508, 4398, 5482, 6809, 8414, 10365, 12711, 15545, 18935, 23006, 27854, 33646, 40513, 48680, 58326, 69748, 83192, 99048, 117650, 139513, 165083, 195034, 229968, 270760 (list; graph; refs; listen; history; text; internal format)
OFFSET
7,2
LINKS
FORMULA
G.f.: Sum_{k>=7} 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, 7, nmax}], {x, 0, nmax}], x] // Drop[#, 7] &
CROSSREFS
Sequence in context: A347542 A035298 A288342 * A343940 A288343 A298414
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 06 2021
STATUS
approved

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Last modified June 16 11:31 EDT 2024. Contains 373429 sequences. (Running on oeis4.)