A368556 a(n) is the number of triangular partitions of size n with just one removable cell.

1, 2, 2, 2, 4, 2, 2, 6, 4, 2, 8, 2, 4, 10, 6, 2, 10, 6, 8, 12, 6, 2, 18, 6, 8, 16, 8, 8, 24, 2, 6, 20, 14, 12, 26, 6, 6, 24, 22, 6, 30, 6, 20, 30, 10, 8, 36, 14, 18, 32, 18, 4, 48, 18, 22, 30, 14, 12, 52, 14, 20, 42, 26, 24, 44, 6, 20, 52, 38, 12, 54, 10, 26

Offset

1,2

Links

Table of n, a(n) for n=1..73.

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 6.2. of Elizalde and Galván.

Crossrefs

The number of triangular partitions of size n with any number of removable cells is in A352882.

Cf. A368554 (with two removable cells).

Sequence in context: A292929 A049627 A278223 * A134058 A345530 A216955

Adjacent sequences: A368553 A368554 A368555 * A368557 A368558 A368559

Keyword

nonn

Author

Alejandro B. Galván, Dec 29 2023

Status

approved