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

Author

Seiichi Manyama, May 27 2023

Keywords

• nonn

Crossrefs

Cf. A237821, A363211.

Cf. A237826, A363076.

Formula

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