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Evaluating the efficacy of psychological therapies for generalised anxiety disorder in children and adolescents: A systematic review and narrative synthesis. [PDF]
JCPP AdvShipp L, Leigh E, Rajesh S, Waite P.
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On Concatenations of Two Padovan and Perrin Numbers
Bulletin of the Iranian Mathematical Society, 2023Let \( (P_k)_{k\ge 0} \) 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
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Padovan and Perrin numbers as product of two repdigits
Boletin De La Sociedad Matematica Mexicana, 2022Let \((P_n)_{n\ge 0}\) 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 +2 more
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On Fibonacci–Hessenberg matrices and the Pell and Perrin numbers
Applied Mathematics and Computation, 2012The 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.
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Padovan and Perrin Numbers Which are Products of Two Repdigits in Base b
Results in Mathematics, 2021In 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 +2 more
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On b-concatenations of Padovan and Perrin numbers
Boletin De La Sociedad Matematica MexicanazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alain Togbé +2 more
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Multiplicative dependence between Padovan and Perrin numbers
Boletín de la Sociedad Matemática Mexicana, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Behera, Mitashree, Ray, Prasanta Kumar
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Perrin Numbers Which Are the Sum, Difference, or Product of Two Fibonacci Numbers
The Fibonacci QuarterlyAbdelaziz El Habibi +2 more
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