Matrices, Sequences and Sums

Part of the Springer Undergraduate Mathematics Series book series (SUMS)


This triangle – better described as an array – is associated with the Binomial Theorem  2.1; this expresses the powers of (1+z) in terms of successive powers of z:
$$(1+z)^r=\sum\limits_{k\ge 0}\binom{r}{k}z^k.$$
The next result shows that the coefficients involved represent the number of ways of choosing k elements from r, as assumed in the first chapter.


Eulerian Number Fibonacci Number Lower Triangular Matrix Binomial Theorem Lucas Number 


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© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.School of MathematicsUniversity of East AngliaNorwichUK
  2. 2.The Mathematical AssociationLeicesterUK

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