scholarly journals On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$

2021 ◽  
pp. 46-54
Author(s):  
Burak OĞUL ◽  
Dağistan ŞİMŞEK
Keyword(s):  
Recursive Sequence

A Buffer Pool Optimization Algorithm Based on Max-Heap

2014 ◽  
Vol 945-949 ◽  
pp. 2439-2442
Author(s):  
Xiao Mei Xiong
Keyword(s):  
Optimization Algorithm ◽  
Database Access ◽  
Buffer Pool ◽  
Operation Efficiency ◽  
Data Query ◽  
Recursive Sequence ◽  
Access Request

To reduce the number of requests to the database connection, this paper designed the max-heap in buffer pool. We use the buffer pool maintenance algorithm to manage SQL data query request when database access intensive. When we update the max-heap, the structure of the buffer pool will be updated and the heap will be balance through the heap of recursive sequence, it got good performance in database access request. Experiment results show that this algorithm can improve the operation efficiency of system effectively.

scholarly journals Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 334 ◽  
Author(s):  
Yuankui Ma ◽  
Wenpeng Zhang
Keyword(s):  
Power Series ◽  
Structural Properties ◽  
Fibonacci Numbers ◽  
Second Order ◽  
Fibonacci Polynomials ◽  
Recursive Sequence ◽  
Combinatorial Methods

The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the properties of the power series, and the combinatorial methods.

scholarly journals LOOK, KNAVE

2020 ◽  
pp. 1-8
Author(s):  
THOMAS MORRILL
Keyword(s):  
Existence And Uniqueness ◽  
Binary Sequences ◽  
The Other ◽  
Binary Expansion ◽  
Recursive Sequence ◽  
Limiting Behaviour

Abstract We examine a recursive sequence in which $s_n$ is a literal description of what the binary expansion of the previous term $s_{n-1}$ is not. By adapting a technique of Conway, we determine the limiting behaviour of $\{s_n\}$ and dynamics of a related self-map of $2^{\mathbb {N}}$ . Our main result is the existence and uniqueness of a pair of binary sequences, each the complement-description of the other. We also take every opportunity to make puns.

scholarly journals On the rational recursive sequence yn=A+yn−1yn−m for small A

2008 ◽  
Vol 21 (9) ◽  
pp. 906-909 ◽  
Author(s):  
Kenneth S. Berenhaut ◽  
Katherine M. Donadio ◽  
John D. Foley
Keyword(s):  
Recursive Sequence

scholarly journals On the Sum of Reciprocal of Polynomial Applied to Higher Order Recurrences

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 638
Author(s):  
Pavel Trojovský
Keyword(s):  
Higher Order ◽  
Order Linear ◽  
Recursive Sequence ◽  
Infinite Sums ◽  
Reciprocal Sums

Recently a lot of papers have been devoted to partial infinite reciprocal sums of a higher-order linear recursive sequence. In this paper, we continue this program by finding a sequence which is asymptotically equivalent to partial infinite sums, including a reciprocal of polynomial applied to linear higher order recurrences.

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