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A347574
Number of partitions of n into 7 or more distinct parts.
6
1, 1, 2, 3, 5, 7, 11, 15, 22, 29, 40, 52, 70, 89, 116, 146, 186, 231, 289, 354, 437, 530, 645, 775, 934, 1112, 1327, 1569, 1856, 2179, 2559, 2985, 3483, 4040, 4684, 5406, 6235, 7160, 8218, 9396, 10735, 12225, 13910, 15780, 17888, 20223, 22842, 25742, 28983, 32562
OFFSET
28,3
FORMULA
G.f.: Sum_{k>=7} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
MATHEMATICA
nmax = 77; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 7, nmax}], {x, 0, nmax}], x] // Drop[#, 28] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 07 2021
STATUS
approved