C.M. da Fonseca, A.G. Shannon (2024) A formal operator involving Fermatian numbers, Notes on Number Theory and Discrete Mathematics, Vol. 30, pp. 491-498, 10.7546/nntdm.2024.30.3.491-498
Abstract. In this note, old and new properties of Fermatian numbers \underline{z}_n=\frac{1-z^n}{1-z} are recalled. A new formal operator is defined and some identities and extensions are discussed.