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A347545
Number of partitions of n into 9 or more parts.
4
1, 2, 4, 7, 12, 19, 30, 45, 67, 97, 138, 193, 267, 364, 491, 656, 868, 1139, 1483, 1917, 2461, 3142, 3985, 5030, 6315, 7893, 9817, 12165, 15007, 18451, 22597, 27589, 33565, 40724, 49249, 59410, 71460, 85753, 102632, 122574, 146032, 173638, 206003, 243951, 288296, 340124
OFFSET
9,2
FORMULA
G.f.: Sum_{k>=9} x^k / Product_{j=1..k} (1 - x^j).
MATHEMATICA
nmax = 54; CoefficientList[Series[Sum[x^k/Product[(1 - x^j), {j, 1, k}], {k, 9, nmax}], {x, 0, nmax}], x] // Drop[#, 9] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 06 2021
STATUS
approved