Prime and prime power divisibility of Catalan numbers

DOI10.1016/0097-3165(73)90072-1zbMath0273.10010OpenAlexW2066257237MaRDI QIDQ2264794

K. K. Kubota, Ronald Alter

Publication date: 1973

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(73)90072-1

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

What power of two divides a weighted Catalan number? ⋮ Divisibility of generalized Catalan numbers ⋮ Congruence properties of combinatorial sequences via walnut and the Rowland-Yassawi-Zeilberger automaton ⋮ Congruences of finite summations of the coefficients in certain generating functions ⋮ On the Euler function of the Catalan numbers ⋮ On the Congruences of Some Combinatorial Numbers ⋮ A combinatorial approach to the power of 2 in the number of involutions ⋮ Hankel determinant calculus for the Thue-Morse and related sequences ⋮ Catalan and Motzkin numbers modulo 4 and 8 ⋮ A closed-form expression for the Drinfeld modular polynomial \(\Phi_{T}(X,Y)\) ⋮ Congruences for Catalan and Motzkin numbers and related sequences ⋮ On quotients of values of Euler's function on the Catalan numbers ⋮ A note on divisors of multinomial coefficients ⋮ Automatic congruences for diagonals of rational functions

Cites Work

• Historical Note on a Recurrent Combinatorial Problem
• Unnamed Item
• Unnamed Item