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a(n) is the number of triangular partitions of size n with two removable cells.
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%I #7 Jan 01 2024 13:30:53

%S 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,

%T 38,39,30,50,48,32,42,48,40,61,62,42,50,66,50,68,62,54,77,78,54,74,78,

%U 64,84,92,56,86,93,84,102,98,66,100,104,80,100,110,96,129

%N a(n) is the number of triangular partitions of size n with two removable cells.

%H Sergi Elizalde and Alejandro B. Galván, <a href="https://arxiv.org/abs/2312.16353">Triangular partitions: enumeration, structure, and generation</a>, arXiv:2312.16353 [math.CO], (2023).

%F See the g.f. in Proposition 6.1. of Elizalde and Galván.

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

%Y Cf. A368556 (with just one removable cell).

%K nonn

%O 1,4

%A _Alejandro B. Galván_, Dec 29 2023