A347545 Number of partitions of n into 9 or more parts.

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

Links

Table of n, a(n) for n=9..54.

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] &

Crossrefs

Cf. A000065, A004250, A008638, A035300, A035301, A347542, A347543, A347544, A347547.

Sequence in context: A298414 A347544 A288344 * A288345 A347547 A000070

Adjacent sequences: A347542 A347543 A347544 * A347546 A347547 A347548

Keyword

nonn

Author

Ilya Gutkovskiy, Sep 06 2021

Status

approved