A363276 Number of partitions of n such that 4*(least part) <= greatest part.

0, 0, 0, 0, 1, 2, 4, 7, 12, 19, 29, 42, 61, 85, 119, 161, 217, 288, 380, 496, 643, 826, 1055, 1340, 1695, 2129, 2663, 3316, 4113, 5084, 6260, 7681, 9394, 11456, 13929, 16892, 20428, 24646, 29658, 35618, 42669, 51021, 60872, 72496, 86165, 102239, 121078, 143171, 168995, 199187, 234380, 275414

Offset

1,6

Links

Table of n, a(n) for n=1..52.

Formula

G.f.: Sum_{i>=1} Sum_{j>=0} x^(5*i+j) /Product_{k=i..4*i+j} (1-x^k).

Crossrefs

Cf. A237821, A363211.

Cf. A237826, A363076.

Sequence in context: A266464 A103231 A002622 * A035301 A035297 A272465

Adjacent sequences: A363273 A363274 A363275 * A363277 A363278 A363279

Keyword

nonn

Author

Seiichi Manyama, May 27 2023

Status

approved