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A347575
Number of partitions of n into 8 or more distinct parts.
5
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 41, 54, 73, 94, 123, 157, 201, 252, 318, 394, 489, 600, 735, 892, 1083, 1302, 1564, 1867, 2224, 2634, 3116, 3665, 4305, 5035, 5877, 6834, 7935, 9179, 10601, 12208, 14033, 16087, 18415, 21024, 23968, 27264, 30965, 35097, 39728, 44881
OFFSET
36,3
FORMULA
G.f.: Sum_{k>=8} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
MATHEMATICA
nmax = 85; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 8, nmax}], {x, 0, nmax}], x] // Drop[#, 36] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 07 2021
STATUS
approved