Johann Bernoulli Stichting voor de Wiskunde te Groningen

A.J. Stam was professor in applied mathematics at the University of Groningen between 1963 and 1994. During his retirement he remains active and is interested in formulas which are related to probability theory. The present document is a reflection of this interest.

Binomial sums with oldfashioned proofs

1a Introduction and generalities
1b Polynomials of convolution type
1c Fibonacci and Lucas numbers and polynomials
1d Tables
1e Proofs, remarks and references

2 Tables, proofs and references of higher-order sums