A note on generalized hybrid Tribonacci numbers
نویسندگان
چکیده
منابع مشابه
Incomplete generalized Tribonacci polynomials and numbers
The main object of this paper is to present a systematic investigation of a new class of polynomials – incomplete generalized Tribonacci polynomials and a class of numbers associated with the familiar Tribonacci polynomials. The various results obtained here for these classes of polynomials and numbers include explicit representations, generating functions, recurrence relations and summation fo...
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the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Using certain Hessenberg matrices, we provide some determinantal representations of the general terms of second-and third-order linear recurrence sequences with arbitrary initial values. Moreover, we provide explicit formu...
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In this paper we consider infinite sums derived from the reciprocals of the Fibonacci numbers, and infinite sums derived from the reciprocals of the square of the Fibonacci numbers. Applying the floor function to the reciprocals of these sums, we obtain equalities that involve the Fibonacci numbers.
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In this paper, we use a simple method to derive di¤erent recurrence relations on the Tribonacci numbers and their sums. By using the companion matrices and generating matrices, we get more identities on the Tribonacci numbers and their sums, which are more general than that given in literature [E. Kilic, Tribonacci Sequences with Certain Indices and Their Sum, Ars Combinatoria 86 (2008), 13-22....
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Let p be an odd prime number. Throughout this paper Zp, Qp, C, and Cp will, respectively, denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field, and the completion of algebraic closure of Qp. The normalized valuation in Cp is denoted by | · |p with |p|p = 1 p . We say that f is a uniformly differentiable function at a point a ∈ Zp and denote...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications
سال: 2020
ISSN: 1509-9415,2084-0373
DOI: 10.7151/dmgaa.1343