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A347576
Number of partitions of n into 9 or more distinct parts.
5
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 55, 75, 97, 128, 164, 212, 267, 340, 423, 530, 654, 808, 986, 1207, 1460, 1768, 2123, 2549, 3037, 3620, 4284, 5069, 5965, 7012, 8203, 9590, 11160, 12975, 15029, 17388, 20048, 23092, 26513, 30408, 34781, 39734, 45278
OFFSET
45,3
FORMULA
G.f.: Sum_{k>=9} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
MATHEMATICA
nmax = 92; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 9, nmax}], {x, 0, nmax}], x] // Drop[#, 45] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 07 2021
STATUS
approved