scientific article

zbMath1108.11019MaRDI QIDQ3024730

Pavel Trojovský, Jaroslav Seibert

Publication date: 5 March 2007

Full work available at URL: https://eudml.org/doc/32000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generating functionFibonacci numberLucas numberFibonomial coefficient

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

Fibonomial and Lucanomial sums through well-poised $q$-series ⋮ On Pellnomial coefficients and Pell-Catalan numbers ⋮ On some identities for the Fibonomial coefficients via generating function ⋮ Unnamed Item ⋮ \(q\)-derivative operator proof for a conjecture of Melham ⋮ Formulæ for multi-parameter Gaussian \(q\)-binomial sums with applications ⋮ On the connectivity properties and energy of Fibonomial graphs ⋮ Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums ⋮ Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients ⋮ Quadratic sums of Gaussian \(q\)-binomial coefficients and Fibonomial coefficients ⋮ The generalized Fibonomial matrix ⋮ q-binomial formulae of Dixon`s type and the Fibonomial sums

Cites Work

• Generating functions for powers of Fibonacci numbers
• Generating functions for powers of a certain generalized sequence of numbers
• Generating functions for powers of certain sequences of numbers
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