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A368554
a(n) is the number of triangular partitions of size n with two removable cells.
1
0, 0, 1, 2, 2, 5, 6, 4, 8, 11, 8, 14, 14, 10, 17, 22, 16, 20, 22, 20, 29, 32, 20, 32, 34, 28, 38, 39, 30, 50, 48, 32, 42, 48, 40, 61, 62, 42, 50, 66, 50, 68, 62, 54, 77, 78, 54, 74, 78, 64, 84, 92, 56, 86, 93, 84, 102, 98, 66, 100, 104, 80, 100, 110, 96, 129
OFFSET
1,4
LINKS
Sergi Elizalde and Alejandro B. Galván, Triangular partitions: enumeration, structure, and generation, arXiv:2312.16353 [math.CO], (2023).
FORMULA
See the g.f. in Proposition 6.1. of Elizalde and Galván.
CROSSREFS
The number of triangular partitions of size n with any number of removable cells is in A352882.
Cf. A368556 (with just one removable cell).
Sequence in context: A176989 A367211 A250303 * A301477 A261895 A112573
KEYWORD
nonn
AUTHOR
STATUS
approved