A347547 Number of partitions of n into 10 or more parts.

1, 2, 4, 7, 12, 19, 30, 45, 67, 97, 139, 194, 270, 368, 499, 667, 887, 1165, 1524, 1973, 2544, 3253, 4143, 5239, 6602, 8268, 10320, 12813, 15859, 19537, 24000, 29359, 35820, 43541, 52795, 63803, 76929, 92476, 110926, 132694, 158414, 188649, 224231, 265916, 314793

Offset: 10

Author

Ilya Gutkovskiy, Sep 06 2021

Keywords

• nonn

Crossrefs

Cf. A000065, A004250, A008639, A035300, A035301, A347542, A347543, A347544, A347545.

Programs

Mathematica

nmax = 54; CoefficientList[Series[Sum[x^k/Product[(1 - x^j), {j, 1, k}], {k, 10, nmax}], {x, 0, nmax}], x] // Drop[#, 10] &

Formula

G.f.: Sum_{k>=10} x^k / Product_{j=1..k} (1 - x^j).