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A368554 a(n) is the number of triangular partitions of size n with two removable cells.

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%I A368554 #7 Jan 01 2024 13:30:53
%S A368554 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 A368554 38,39,30,50,48,32,42,48,40,61,62,42,50,66,50,68,62,54,77,78,54,74,78,
%U A368554 64,84,92,56,86,93,84,102,98,66,100,104,80,100,110,96,129
%N A368554 a(n) is the number of triangular partitions of size n with two removable cells.
%H A368554 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 A368554 See the g.f. in Proposition 6.1. of Elizalde and Galván.
%Y A368554 The number of triangular partitions of size n with any number of removable cells is in A352882.
%Y A368554 Cf. A368556 (with just one removable cell).
%K A368554 nonn
%O A368554 1,4
%A A368554 _Alejandro B. Galván_, Dec 29 2023