A347544 Number of partitions of n into 8 or more parts.

1, 2, 4, 7, 12, 19, 30, 45, 67, 96, 137, 190, 263, 356, 480, 637, 842, 1098, 1427, 1835, 2351, 2986, 3780, 4749, 5949, 7405, 9190, 11344, 13966, 17111, 20913, 25454, 30908, 37393, 45141, 54315, 65222, 78090, 93317, 111220, 132323, 157050, 186088, 220015, 259716

Offset: 8

Author

Ilya Gutkovskiy, Sep 06 2021

Keywords

• nonn

Crossrefs

Cf. A000065, A004250, A008637, A035300, A035301, A347542, A347543, A347545, A347547.

Programs

Mathematica

nmax = 52; CoefficientList[Series[Sum[x^k/Product[(1 - x^j), {j, 1, k}], {k, 8, nmax}], {x, 0, nmax}], x] // Drop[#, 8] &

Formula

G.f.: Sum_{k>=8} x^k / Product_{j=1..k} (1 - x^j).