E. Bravo

activity

20142026

most citedCoincidences in generalized Lucas sequences

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2026

On Brocard's problem with Padovan and Perrin numbers

Eric F. Bravo

The Padovan sequence ${P_{m}}_{m \geq 0}$ is a ternary recurrence sequence with companion polynomial $X^{3} - X - 1$ and initial conditions $P_{0} = P_{1} = P_{2} = 1$ . The Perrin sequence $…

math.NT2026

Cullen and Woodall numbers in Padovan and Perrin sequences

Herbert Batte, Eric F. Bravo, Florian Luca

Let ${P_{n}}_{n \geq 0}$ and ${R_{n}}_{n \geq 0}$ denote the Padovan and Perrin sequences, both satisfying the recurrence $U_{n + 3} = U_{n + 1} + U_{n}$ , but with initial values $P_0 = P_1…

math.NT2020

$k$ --Fibonacci numbers with two blocks of repdigits

Eric F. Bravo, Jhon J. Bravo, Carlos A. Gómez

A generalization of the well--known Fibonacci sequence is the $k$ --Fibonacci sequence with some fixed integer $k \geq 2$ . The first $k$ terms of this sequence are $0, \dots, 0, 1$ , and…

math.NT2014★ 1 cited

Coincidences in generalized Lucas sequences

Eric F. Bravo, Jhon J. Bravo, Florian Luca

For an integer $k \geq 2$ , let $(L_{n}^{(k)})_{n}$ be the $k -$ generalized Lucas sequence which starts with $0, \dots, 0, 2, 1$ ( $k$ terms) and each term afterwards is the sum of the $k…

On Brocard's problem with Padovan and Perrin numbers

Cullen and Woodall numbers in Padovan and Perrin sequences

k--Fibonacci numbers with two blocks of repdigits

Coincidences in generalized Lucas sequences

$k$ --Fibonacci numbers with two blocks of repdigits