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A347542
Number of partitions of n into 6 or more parts.
4
1, 2, 4, 7, 12, 19, 30, 44, 65, 92, 130, 178, 244, 326, 435, 571, 747, 964, 1242, 1581, 2009, 2530, 3178, 3962, 4930, 6094, 7518, 9225, 11296, 13768, 16751, 20295, 24546, 29583, 35591, 42685, 51112, 61028, 72757, 86523, 102740, 121720, 144007, 170018, 200461, 235910, 277270
OFFSET
6,2
FORMULA
G.f.: Sum_{k>=6} 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, 6, nmax}], {x, 0, nmax}], x] // Drop[#, 6] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 06 2021
STATUS
approved