The infinite sum of reciprocal Pell numbers
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Publication:434652
DOI10.1016/j.amc.2011.11.090zbMath1247.39001OpenAlexW2092733994MaRDI QIDQ434652
Ting-Ting Wang, Wen Peng Zhang
Publication date: 16 July 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.090
Related Items (21)
On the finite reciprocal sums of Fibonacci and Lucas polynomials ⋮ Some computational formulas related the Riemann zeta-function tails ⋮ The infinite sums of reciprocals and the partial sums of Chebyshev polynomials ⋮ The limit of reciprocal sum of some subsequential Fibonacci numbers ⋮ On Pellnomial coefficients and Pell-Catalan numbers ⋮ On the reciprocal sums of the generalized Fibonacci sequences ⋮ On the reciprocal sums of higher-order sequences ⋮ The infinite sum of the cubes of reciprocal pell numbers ⋮ The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials ⋮ Several identities involving the Fibonacci polynomials and Lucas polynomials ⋮ On integer parts of the reciprocal remainders of some sums ⋮ On the reciprocal products of generalized Fibonacci sequences ⋮ Unnamed Item ⋮ On the sum of reciprocal generalized Fibonacci numbers ⋮ More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences ⋮ Partial reciprocal sums of the Mathieu series ⋮ Some identities related to Riemann zeta-function ⋮ Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers ⋮ A reciprocal sum related to the Riemann ζ-function ⋮ Unnamed Item ⋮ On the reciprocal sum of the fourth power of Fibonacci numbers
Cites Work
- Unnamed Item
- Restricted partitions and \(q\)-Pell numbers
- On the computing of the generalized order-\(k\) Pell numbers in log time
- \(q\)-Pell sequences and two identities of V. A. Lebesgue
- 132-avoiding two-stack sortable permutations, Fibonacci numbers, and Pell numbers
- The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods
- Arithmetic properties of \(q\)-Fibonacci numbers and \(q\)-Pell numbers
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