This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A368556 #9 Jan 01 2024 13:31:03 %S A368556 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, %T A368556 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, %U A368556 14,12,52,14,20,42,26,24,44,6,20,52,38,12,54,10,26 %N A368556 a(n) is the number of triangular partitions of size n with just one removable cell. %H A368556 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 A368556 See the g.f. in Proposition 6.2. of Elizalde and Galván. %Y A368556 The number of triangular partitions of size n with any number of removable cells is in A352882. %Y A368556 Cf. A368554 (with two removable cells). %K A368556 nonn %O A368556 1,2 %A A368556 _Alejandro B. Galván_, Dec 29 2023