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Experimental Mathematics Seminar

The Meta C-Finite Ansatz

Robert Dougherty-Bliss, Rutgers University

Location:  Zoom
Date & time: Thursday, 14 April 2022 at 5:00PM - 6:00PM

Abstract: The Fibonacci numbers F(n) satisfy the famous recurrence F(n + 2) = F(n + 1) + F(n). The "C-finite ansatz" tells us that the family of sequences F(2n), F(3n), F(4n), ..., along with their sums and products satisfy similar recurrences. However, even more is true. We will show that the recurrences satisfied by F(n*i) and F(n*i) * F(n*j), for any C-finite sequence F, satisfy meta recurrences which lead to generating function and summation identities.

Zoom link:
password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420

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