CARMA Colloquium

4:00 pm

Tuesday, 10th Oct 2017

V205, Mathematics Building


Dr Michael Assis

(CARMA, The University of Newcastle)

Systematic analysis of OEIS generating functions

Given a sequence of integers, one would like to understand the pattern which generates the sequence, as well as its asymptotics. If the sequence is viewed as the coefficients of the series expansion of a function, called its generating function, many questions regarding the sequence can be answered more easily. If the generating function satisfies a linear ODE or a nonlinear algebraic DE, the differential equation can be found if enough terms in the sequence are given. In this talk I'll discuss my implementation in C of such a search, applications, and a systematic search of the entire Online Encyclopedia of Integer Sequences (OEIS) for generating functions.