Work

Divide-and-conquer generating functions. Part I. Elementary sequences

Year: 2003
Type: preprint
Abstract: Divide-and-conquer functions satisfy equations in F(z),F(z^2),F(z^4)... Their generated sequences are mainly used in computer science, and they were analyzed pragmatically, that is, now and then a sequence was picked out for scrutiny. By giving several classes of ordinary generating functions together with recurrences, we hope to help with the analysis of many such sequences, and try to classify a part of the divide-and-conquer sequence zoo.
Language: English
Open Access status: green
OpenAlex ID: W1553209113
Cites: 5
Cited by: 4
Related to: 10