7 citations · 18 across the 13 of their papers we have counts for
5 papers · 1 filter
On some divisibility properties of binomial sums
Brian Y. Sun
In this paper, we consider two particular binomial sums \begin{align*} \sum_{k=0}^{n-1}(20k^2+8k+1){\binom{2k}{k}}^5 (-4096)^{n-k-1} \end{align*} and \begin{align*} \sum_{k=0}^{n-1…
Proof of a Conjecture of Z.-W. Sun on Trigonometric Series
Brian Y. Sun, J. X. Meng
Recently, Z. W. Sun introduced a sequence , where , and found one congruence and two convergent seri…
Two-log-convexity of the Catalan-Larcombe-French sequence
Brian Yi Sun, Baoyindureng Wu
The Catalan-Larcombe-French sequence arises in a series expansion of the complete elliptic integral of the first kind. It has been proved that the sequence is l…
Log-behavior of two sequences related to the elliptic integrals
Brian Y. Sun, James J. Y. Zhao
Two interesting sequences arose in the study of the series expansions of the complete elliptic integrals, which are called the Catalan-Larcombe-French sequence …
On universal partial words
Herman Z. Q. Chen, Sergey Kitaev, Torsten Mütze +1
A universal word for a finite alphabet and some integer is a word over such that every word in appears exactly once as a subword (cyclically or linearly). I…