A363211 Number of partitions of n such that 3*(least part) <= greatest part.

0, 0, 0, 1, 2, 4, 7, 12, 18, 27, 39, 56, 78, 106, 143, 193, 254, 333, 432, 560, 717, 914, 1157, 1461, 1833, 2292, 2849, 3536, 4362, 5372, 6587, 8062, 9825, 11951, 14487, 17533, 21150, 25469, 30583, 36670, 43850, 52357, 62366, 74184, 88048, 104359, 123442, 145826, 171946, 202487

Offset

1,5

Links

Table of n, a(n) for n=1..50.

Formula

G.f.: Sum_{i>=1} Sum_{j>=0} x^(4*i+j) /Product_{k=i..3*i+j} (1-x^k).

Crossrefs

Cf. A237821, A363276.

Cf. A237825, A363075.

Sequence in context: A175812 A002621 A343657 * A033500 A003318 A329398

Adjacent sequences: A363208 A363209 A363210 * A363212 A363213 A363214

Keyword

nonn

Author

Seiichi Manyama, May 27 2023

Status

approved