Some results for sums of the inverses of binomial coefficients.
SomeRremarks on a Combinatorial Problem
Stirling pairs
Succession rules and deco polyominoes
Succession rules and Deco polyominoes
In this paper, we examine the class of "deco" polyominoes and the succession rule describing their construction. These polyominoes are enumerated according to their directed height by factorial numbers. By changing some aspects of the "factorial" rule, we obtain some succession rules that describe various "deco" polyomino subclasses. By enumerating the subclasses according to their height and width, we find the following well-known numbers: Stirling numbers of the first and second kind,...
Sums involving moments of reciprocals of binomial coefficients.
Sums involving the inverses of binomial coefficients.
Sums of reciprocals of the central binomial coefficients.
Sur les combinaisons simples
Sur les conditions de divisibilité d'un produit de factorielles par un autre
Symmetries in Steinhaus triangles and in generalized Pascal triangles.
The combinatorial structure of trigonometry.
The complete polynomial grid
The cyclotomic identity and the cyclic group.
The enumeration of sequences with restrictions on their partial sums.
The Euler series transformation and the binomial identities of Ljunggren, Munarini and Simons.
The (Euler)-Catalan numbers.
The factorial representations of integers and the Eratosthenes sieve
The generating function of ternary trees and continued fractions.
The Kazandzidis supercongruences. A simple proof and an application