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