Repdigits as products of consecutive Padovan or Perrin numbers

نویسندگان

چکیده

Abstract A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., number of the form $$a(10^m-1)/9$$ a ( 10 m - 1 ) / 9 , for some $$m\ge 1$$ ≥ and $$1 \le 9$$ ≤ . Let $$\left( P_n\right) _{n\ge 0}$$ P n 0 E_n\right) E be sequence Padovan Perrin numbers, respectively. This paper deals with repdigits can written as products consecutive or/and numbers.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact Determinants of the RFPrLrR Circulant Involving Jacobsthal, Jacobsthal-Lucas, Perrin and Padovan Numbers

Circulant matrix family occurs in various fields, applied in image processing, communications, signal processing, encoding and preconditioner. Meanwhile, the circulant matrices [1, 2] have been extended in many directions recently. The f(x)-circulant matrix is another natural extension of the research category, please refer to [3, 11]. Recently, some authors researched the circulant type matric...

متن کامل

Repdigits as sums of three Fibonacci numbers

In this paper, we find all base 10 repdigits which are sums of three Fibonacci numbers. AMS subject classifications: Primary 11D61; Secondary 11A67, 11B39

متن کامل

On Consecutive Happy Numbers

Let e > 1 and b > 2 be integers. For a positive integer n = ∑k j=0 aj × b j with 0 6 aj < b, define

متن کامل

Perfect repdigits

Here, we give an algorithm to detect all perfect repdigits in any base g > 1. As an application, we find all such examples when g ∈ [2, . . . , 333], extending a calculation from [2]. In particular, we demonstrate that there are no odd perfect repdigits for this range of bases. [2010]Primary 11A63, 11A05, 11A25

متن کامل

Νοτε Ον Consecutive Abundant Numbers

A positive integer N is called an abundant number if σ(N) > 2N, where σ (N) denotes the suns of the divisors of N including 1 and N. Abundant numbers have been recently investigated by Behrend, Chowla, Davenport , myself, and others ; it has been proved, for example, that they have a density greater than 0 . I prove now the following THEOREM. We can find two constants c l , c 2 such that , for ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Arabian Journal of Mathematics

سال: 2021

ISSN: ['2193-5343', '2193-5351']

DOI: https://doi.org/10.1007/s40065-021-00317-1