This Demonstration illustrates the direct relation between Pascal's triangle and the binomial theoremComponente Curricular::Ensino Médio::Matemátic
We give a conjecture on the set of numbers that occurs at least 6 times in the Pascal Triangle. We d...
Includes bibliographical references (pages 20-22)This project is a series of lesson plans designed t...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...
Displays Pascal's triangle for up to thirteen rowsComponente Curricular::Ensino Médio::Matemátic
The study presents some of the mathematical properties of the Pascal triangle as well as its applica...
In almost all books on College Algebra, the Pascal Triangle is placed in such a position as to show ...
Knowledge about algebra, combinatorics and number basesThe base n digits of each entry in a row of P...
Includes bibliographical references (pages 182-184)A study of the life of Pascal and an examination ...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
AbstractAn alternative is given to Hilton and Pedersen's method of defining binomial coefficients (r...
summary:The paper introduces six combinatorial identities “hidden” in Pascal’s triangle. The proofs ...
Expanding a simple polynomialComponente Curricular::Ensino Fundamental::Séries Finais::Matemátic
This thesis is an exposition of the articles Relating Geometry and Algebra in the Pascal Triangle, H...
In this note we present several unusual problems involving divisibility of the binomial coefficients...
In this paper, we study the problem of balancing binomial coefficients in Pascal's triangle. We give...
We give a conjecture on the set of numbers that occurs at least 6 times in the Pascal Triangle. We d...
Includes bibliographical references (pages 20-22)This project is a series of lesson plans designed t...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...
Displays Pascal's triangle for up to thirteen rowsComponente Curricular::Ensino Médio::Matemátic
The study presents some of the mathematical properties of the Pascal triangle as well as its applica...
In almost all books on College Algebra, the Pascal Triangle is placed in such a position as to show ...
Knowledge about algebra, combinatorics and number basesThe base n digits of each entry in a row of P...
Includes bibliographical references (pages 182-184)A study of the life of Pascal and an examination ...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
AbstractAn alternative is given to Hilton and Pedersen's method of defining binomial coefficients (r...
summary:The paper introduces six combinatorial identities “hidden” in Pascal’s triangle. The proofs ...
Expanding a simple polynomialComponente Curricular::Ensino Fundamental::Séries Finais::Matemátic
This thesis is an exposition of the articles Relating Geometry and Algebra in the Pascal Triangle, H...
In this note we present several unusual problems involving divisibility of the binomial coefficients...
In this paper, we study the problem of balancing binomial coefficients in Pascal's triangle. We give...
We give a conjecture on the set of numbers that occurs at least 6 times in the Pascal Triangle. We d...
Includes bibliographical references (pages 20-22)This project is a series of lesson plans designed t...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...