Incomplete Fibonacci and Lucas numbers

DOI10.1007/BF02845088zbMath0855.11007MaRDI QIDQ1916317

Piero Filipponi

Publication date: 20 August 1996

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

incomplete Fibonacci numbersincomplete Lucas numberssecond-order recurrence relationcongruence propertiescharacterization of prime numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Primes (11A41)

Related Items (19)

Bi-periodic incomplete Horadam numbers ⋮ A symmetric algorithm for hyperharmonic and Fibonacci numbers ⋮ Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities ⋮ Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials ⋮ On some generalizations of Horadam’s numbers ⋮ Incomplete Fibonacci and Lucas \(p\)-numbers ⋮ Incomplete bivariate Fibonacci and Lucas \(p\)-polynomials ⋮ Incomplete \(k\)-Fibonacci and \(k\)-Lucas numbers ⋮ Unnamed Item ⋮ Incomplete Tribonacci-Lucas numbers and polynomials ⋮ Unnamed Item ⋮ Generating functions of the incomplete Fibonacci and Lucas numbers ⋮ Companion sequences associated to ther-Fibonacci sequence: algebraic andcombinatorial properties ⋮ Symmetric functions of the k-Fibonacci and k-Lucas numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers ⋮ Incomplete q-Chebyshev polynomials

Cites Work

• Uniform Huffman Sequences do not exist
• A note on the improper use of a formula for Fibonacci numbers
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