A Generalization of a Congruential Property of Lucas

DOI10.2307/2325058zbMath0755.11001OpenAlexW2037464805MaRDI QIDQ4013197

Richard J. McIntosh

Publication date: 27 September 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2325058

zbMATH Keywords

congruencesbinomial coefficientLucas propertydouble Lucas property

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (19)

Character sums, primitive elements, and powers in finite fields ⋮ Divisibility properties of sporadic Apéry-like numbers ⋮ A binomial sum related to Wolstenholme's theorem ⋮ On the structure of digital explicit nonlinear and inversive pseudorandom number generators ⋮ A remark on Apéry's numbers ⋮ Generalized Lucas congruences and linear \(p\)-schemes ⋮ On Pascal triangles modulo a prime power ⋮ New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences ⋮ Gessel-Lucas congruences for sporadic sequences ⋮ ON A CONJECTURE OF MCINTOSH REGARDING LP-SEQUENCES ⋮ Generalised Apéry numbers modulo 9 ⋮ Catalan and Apéry numbers in residue classes ⋮ Transcendence of binomial and Lucas' formal power series ⋮ On the linear complexity profile of some new explicit inversive pseudorandom numbers ⋮ On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials ⋮ Transcendence of formal power series with rational coefficients ⋮ The Lucas property for linear recurrences of second order ⋮ On the linear complexity profile of explicit nonlinear pseudorandom numbers. ⋮ On the Lucas property of linear recurrent sequences

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