2 papers
math.CO2026
The analytic properties of Hoggatt triangles
Jianxi Mao, Wenle Shi
The -Hoggatt triangle is a lower triangular matrix whose entries are given by specific minors of Pascal's triangle formed by consecutive rows and columns. The cases $d=1…
math.CO2026
Proof of Cigler's conjecture on -Hoggatt numbers
Shane Chern, Wenle Shi
We prove the nonnegativity and palindromicity of a family of polynomials arising from -Hoggatt numbers. The nonnegativity is derived from Stanley's -partition theory thr…