Results 31 to 40 of about 9,807,843 (352)
On Catalan Constant Continued Fractions [PDF]
International Conference on Codes, Cryptology, and Information Security, 2022 The Ramanujan Machine project detects new expressions related to constants of interest, such as $\zeta$ function values, $\gamma$ and algebraic numbers (to name a few).
D. Naccache, Ofer Yifrach-Stav
semanticscholar +1 more source
Generalized $q,t$-Catalan numbers [PDF]
Algebraic Combinatorics, 2020 33 pages; v2: fixed typos and included referee ...
Gorsky, Eugene +3 more
openaire +5 more sources
Arithmetic of weighted Catalan numbers [PDF]
Journal of Number Theory, 2021 27 ...
Yibo Gao, Andrew Gu
openaire +3 more sources
Chemistry – A European Journal, Volume 28, Issue 70, December 15, 2022., 2022 Cyanopyridines are reduced at low potentials in organic solvents and are therefore a promising class of molecules for anolytes for nonaqueous redox‐flow batteries (RFBs). Quantum computations suggest that properly placed phenyl and methyl substituents shift the reduction potentials even lower than those of the parent cyanopyridines and prevent ...
Thomas P. Vaid +8 more
wiley +1 more source
Three Identities of the Catalan-Qi Numbers
Mathematics, 2016 In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternative proofs of two identities of the Catalan numbers. The three identities of the Catalan-Qi numbers generalize three identities of the Catalan numbers.
Mansour Mahmoud, Feng Qi
doaj +1 more source
Symmetry of Narayana Numbers and Rowvacuation of Root Posets
Forum of Mathematics, Sigma, 2021 For a Weyl group W of rank r, the W-Catalan number is the number of antichains of the poset of positive roots, and the W-Narayana numbers refine the W-Catalan number by keeping track of the cardinalities of these antichains.
Colin Defant, Sam Hopkins
doaj +1 more source
$m$-noncrossing partitions and $m$-clusters [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $W$ be a finite crystallographic reflection group, with root system $\Phi$. Associated to $W$ there is a positive integer, the generalized Catalan number, which counts the clusters in the associated cluster algebra, the noncrossing partitions for $W$,
Aslak Bakke Buan +2 more
doaj +1 more source
Euler-Catalan's Number Triangle and Its Application
Symmetry, 2020 In this paper, we study such combinatorial objects as labeled binary trees of size n with m ascents on the left branch and labeled Dyck n-paths with m ascents on return steps.
Y. Shablya, D. Kruchinin
semanticscholar +1 more source
Some Properties of the Fuss–Catalan Numbers
Mathematics, 2018 In the paper, the authors express the Fuss⁻Catalan numbers as several forms in terms of the Catalan⁻Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the ...
Feng Qi, Pietro Cerone
doaj +1 more source