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A363211
Number of partitions of n such that 3*(least part) <= greatest part.
1
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
FORMULA
G.f.: Sum_{i>=1} Sum_{j>=0} x^(4*i+j) /Product_{k=i..3*i+j} (1-x^k).
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, May 27 2023
STATUS
approved