Between each pair of terms in this sequence is the amount the sequence is decreasing by. The 𝒏th term refers to a term's position in the sequence, for example, the first term has 𝒏 = 1, the second ...

Sequences of numbers have long fascinated both amateur and professional mathematicians. Many people are familiar with the Fibonacci sequence, in which each new term is the sum of the previous two ...

The binomial transform is a transformation that takes a sequence as an input and gives another sequence as an output according to a certain rule. As an example, we have that the binomial transform of ...