Journal of Integer Sequences, Vol. 26 (2023), Article 23.2.4

Convolutions with the Bernoulli and Euler Numbers

Meryem Bouzeraib and Ali Boussayoud
LMAM Laboratory and Department of Mathematics
Mohamed Seddik Ben Yahia University

Baghdadi Aloui
Higher Institute of Industrial Systems of Gabes
Department of Electromechanics
City of Erriadh
6072 Gabes


We use exponential generating functions to study the relationship between Bernoulli and Euler numbers with k-Jacobsthal numbers, k-Jacobsthal-Lucas numbers, and bivariate Fibonacci, Lucas, Pell and Pell-Lucas polynomials.

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(Concerned with sequences A000032 A000045 A000364 A027641 A027642.)

Received December 12 2022; revised versions December 13 2022; February 17 2023; February 20 2023. Published in Journal of Integer Sequences, February 24 2023.

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