Sharan, N. GuruN. GuruSharanStraub, ArminArminStraub2026-01-222026-01-222026-05-0110.1016/j.jcta.2026.1061582-s2.0-105027170469https://repository.iitgn.ac.in/handle/IITG2025/33941A well-studied statistic of an integer partition is the size of its Durfee square. In particular, the number D<inf>k</inf>(n) of partitions of n with Durfee square of fixed size k has a well-known simple rational generating function. We study the number R<inf>k</inf>(n) of partitions of n with Durfee triangle of size k (the largest subpartition with parts 1,2,…,k). We determine the corresponding generating functions which are rational functions of a similar form. Moreover, we explicitly determine the leading asymptotic of R<inf>k</inf>(n), as n→∞.falseAsymptotics | Constant recursive sequences | Durfee square | Durfee triangle | Integer partitionsArticle10960899May 20260106158arArticle