Results 81 to 90 of about 209 (127)

Asymptotic Analysis of <i>q</i>-Recursive Sequences. [PDF]

open access: yesAlgorithmica, 2022
Heuberger C, Krenn D, Lipnik GF.
europepmc   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

open access: yesNuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

How Long Can k-Göbel Sequences Remain Integers?

open access: yes
Inspired by Episode 3 of the Japanese manga “Seisu-tan” by Doom Kobayashi and Shin-ichiro Seki, we investigate the k-G¨obel sequence (g_)_n named after Fritz G¨obel. Although the sequence is generally defined as rational, quite a few initial terms behave
松比良, 凜ノ介   +8 more
core  

In Search of the Truly Marvelous Proof

open access: yes
: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a,b, and c satisfy the equation a^n+b^n=c^n for any integer n>2.
Charles Kusniec
core  

Proving Fermat’s Last Theorem Using Partial Differences of Powers and the Binomial Theorem

open access: yes
: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer n > 2.
Charles Kusniec
core  

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