Seminars & Colloquia Calendar
The Meta C-Finite Ansatz
Robert Dougherty-Bliss, Rutgers University
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.
password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420