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A347577
Number of partitions of n into 10 or more distinct parts.
5
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 76, 99, 131, 169, 219, 278, 355, 445, 560, 695, 863, 1061, 1304, 1588, 1933, 2336, 2819, 3381, 4050, 4824, 5738, 6793, 8028, 9450, 11105, 13000, 15195, 17702, 20588, 23874, 27640, 31913, 36790, 42308, 48578, 55654, 63666
OFFSET
55,3
FORMULA
G.f.: Sum_{k>=10} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
MATHEMATICA
nmax = 103; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 10, nmax}], {x, 0, nmax}], x] // Drop[#, 55] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 07 2021
STATUS
approved