Ran Pan's homepage

My current research interest is combinatorics, deep learning and algorithms.

To decorate this dull webpage, I posted some of my drawings on the right side. I like making pictures to visualize my research results.


4. Distributed patterns in lattice paths. 8th International Conference on Lattice Path Combinatorics & Applications, Pomona, California. August 19, 2015.

3. Introduction to counting with symmetric functions. Combinatorics seminar, Tongji University, Shanghai, China. July 11, 2015.

2. Pattern matching in standard Young tableaux of rectangular shapes. Permutation Patterns 2015, London, England. June 16, 2015.

1. Patterns in column-strict arrays. Candidacy talk, UC San Diego, La Jolla, California. December 11, 2014.


2. R. Pan and J.B. Remmel, Paired patterns in lattice paths, submitted, 2016.

1. R. Pan and J.B. Remmel, Minimal overlapping patterns for generalized Euler permutations, standard tableaux of rectangular shape, and column strict arrays, submitted, 2015.

Sequences on OEIS

(submitting new or adding comments)

A026012      A174687      A256680

A256644      A001405      A115112

A000364      A000182      A025035

A181197      A000079      A000975

A257198      A123932      A007395     

A257546      A215294      A215297     

A144229      A010790      A258213     

A258216      A261711      A000213     

A262402      A262444      A262445     

A000957      A262480      A262600     

A000984      A258109      A135339     

A000891      A075465      A003059     

A262872      A262874      A008642     

A001700      A008292      A072951     

A025585      A180056      A006551     

A001187      A263986      A263867     

A260156      A260159      A213326     

A000169      A260693      A260694     

A000045      A009766      A240440     

A057092      A268208      A268213     

A268214      A108958      A005317     

A120989      A118920      A268329     

A162551      A028329      A000245     

A070857      A139262      A003517     

A003519      A268370      A268399     

A268400      A268401      A268402     

A268368      A001787      A001815     

A002057      A008549      A268407     

A001793      A268429      A268430     

A268431      A268446      A268447     

A268462      A268586      A268587     

A268598      A268599      A268600     

A268601      A028872      A274644     

A274645      A274646      A274763     

A274764      A066357      A005461