On a Sequence of Polynomials with Hypothetically Integer Coefficients

@article{Shevelev2013OnAS,
  title={On a Sequence of Polynomials with Hypothetically Integer Coefficients},
  author={Vladimir Shevelev and Peter J. C. Moses},
  journal={Integers},
  year={2013},
  volume={13},
  pages={A9}
}
The first author introduced a sequence of polynomials (\cite{8}, sequence A174531) defined recursively. One of the main results of this study is proof of the integrality of its coefficients. 

References

SHOWING 1-10 OF 12 REFERENCES
An integer sequence from a rational recursion
Abstract The sequence of numbers { a i } defined by the recurrence a n = (a n−3 a n−1 +a 2 n−2 ) a n−4 for n >3 with initial values a 0 , a 1 , a 2 , a 3 =1 is shown to be integral. Other initialExpand
The Laurent Phenomenon
TLDR
A unified treatment of the phenomenon of birational maps given by Laurent polynomials is suggested, which covers a large class of applications and settles in the affirmative a conjecture of D. Gale on integrality of generalized Somos sequences. Expand
The On-Line Encyclopedia of Integer Sequences
  • N. Sloane
  • Mathematics, Computer Science
  • Electron. J. Comb.
  • 1994
TLDR
The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences which serves as a dictionary, to tell the user what is known about a particular sequence and is widely used. Expand
Problems and theorems in analysis
Problem 1470
  • Crux Mathematicorum, 15
  • 1989
Mathematical entertainments: the strange and surprising saga of the Somos sequences
  • Math. Intel. 13
  • 1991
Bernoulli and Euler Polynomials and the Euler-Maclaurin Formula in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing
  • 1972
Combinatorial Identities
  • Wiley & Sons
  • 1968
Göbel's sequence
  • From MathWorld-A Wolfram Web Resource
...
1
2
...