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A sensorimotor instability drives a locomotor transition during fish development. [PDF]

Sci Adv
Coraggioso M, Demarchi L, Wong R, Dichio V, Chaumeton C, Panier T, Morvan-Dubois G, Goodhill GJ, Bormuth V, Debrégeas G.   +9 more
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On Concatenations of Two Padovan and Perrin Numbers

Bulletin of the Iranian Mathematical Society, 2023
Let \( (P_k)_{k\ge 0} \) and \( (R_k)_{k\ge 0} \) be the sequences of Padovan and Perrin numbers defined by the respective linear recurrence relations: \( P_0=0 \), \( P_1=P_2=1 \); \( P_k=P_{k-2}+P_{k-3} \) and \( R_0=3 \), \( R_1=0 \), \( R_2=2 \); \( R_k=R_{k-2}+R_{k-3} \), for \( k\ge 3 \).
Fatih Erduvan
exaly   +2 more sources

Padovan and Perrin numbers as product of two repdigits

Boletin De La Sociedad Matematica Mexicana, 2022
Let \((P_n)_{n\ge 0}\) and \((E_n)_{n\ge 0}\) be the sequences of \textit{Padovan numbers} and \textit{Perrin numbers}, respectively, defined by the linear recurrences: \begin{align*} P_0=P_1=P_2=1 \quad \text{and} \quad & P_{n+3}=P_{n+1}+P_n\quad \text{for all} \quad n\ge 0, \quad \text{and}\\ E_0=2, ~ E_1=0, ~ E_2=2 \quad \text{and} \quad & E_{n+3 ...
Salah Eddine Rihane, Alain Togbé, Togbé Alain   +2 more
exaly   +3 more sources

Multiplicative dependence between Padovan and Perrin numbers

Boletin De La Sociedad Matematica Mexicana, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Behera, Mitashree, Ray, Prasanta Kumar
exaly   +3 more sources

Padovan and Perrin Numbers Which are Products of Two Repdigits in Base b

Results in Mathematics, 2021
In this paper, we find all Padovan and Perrin numbers which can be expressible as a products of two repdigits in the base b with 2 ≤ b ≤ 10. It is shown that the largest Padovan and Perrin numbers which can be expressible as a products of two repdigits are P_25 = 616 and T_22 = 486, respectively.
Alain Togbé, Alan Filipin, Kouessi Norbert Adedji   +2 more
exaly   +5 more sources

On Fibonacci–Hessenberg matrices and the Pell and Perrin numbers

Applied Mathematics and Computation, 2012
The author gives examples of recursive sequences of Hessenberg matrices \(A_{n}\) (\(n=1,2,\dots\) where \(A_{n}\) is \(n\times n\)) for which the sequences \(\left\{ \det A_{n}\right\} \) satisfy a simple second order recurrence relation. Proofs are elementary.
exaly   +3 more sources

On b-concatenations of Padovan and Perrin numbers

Boletin De La Sociedad Matematica Mexicana
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alain Togbé, Kouessi Norbert Adedji, Togbé Alain   +2 more
exaly   +3 more sources

Social Distancing, Primes, and Perrin Numbers

Math Horizons, 2021
Harry Dweighter is a longtime restaurant owner who is famous for pondering the mathematics behind flipping pancakes (Problem E2569, Amer. Math. Monthly, 82 [1975], 1010).
openaire   +1 more source

On perfect powers that are difference of two Perrin numbers or two Padovan numbers

Proceedings of the Indian National Science Academy
Merve Guney Duman
exaly   +2 more sources