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

10,2

Links

Table of n, a(n) for n=10..54.

Formula

G.f.: Sum_{k>=10} 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, 10, nmax}], {x, 0, nmax}], x] // Drop[#, 10] &

Crossrefs

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

Sequence in context: A288344 A347545 A288345 * A000070 A369579 A008609

Adjacent sequences: A347544 A347545 A347546 * A347548 A347549 A347550

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 06 2021

Status

approved