A Polynomial Sequence Generalizing an Integer Sequence Associated with Tribonacci Numbers

نویسندگان

چکیده

Tribonacci polynomial sequence is an extension of numbers. We consider integer enumerating the number subsets S set [n]={1,2, . ,n } containing no three consecutive even integers. define a generalizing this sequence. The associated with polynomials. find closed form formula and derive some basic properties

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

A Tribonacci-Like Sequence of Composite Numbers

We find a new Tribonacci-like sequence of positive integers 〈x0, x1, x2, . . .〉 given by xn = xn−1 + xn−2 + xn−3 , n ≥ 3, and gcd(x0, x1, x2) = 1 that contains no prime numbers. We show that the sequence with initial values x0 = 151646890045, x1 = 836564809606, x2 = 942785024683 is the current record in terms of the number of digits.

متن کامل

An Endgame Procedure for Generating Integer Sequence

In playing Ayo game, both opening and endgames are often stylized. The opening is very interesting with both players showing skills by the speed of their movements. However, there exists an endgame strategy in Ayo game called Completely Determined Game (CDG) such that its usefulness for ending a game should be apparent. In this paper, we present the CDG as a class of endgame strategy and descri...

متن کامل

An Integer Sequence Motivated by Generalized Quadrangles

In this paper, we prove a closed form for a sequence motivated by the search for new generalized quadrangles of odd order. We present two proofs: a direct proof to explain the closed form’s derivation and a shorter inductive argument. The sequence in question is derived from congruences that arise from applying the Hermite-Dickson criterion to a permutation polynomial that is related to the gir...

متن کامل

Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Ces`{a}ro summability of its generator sequence

Let $(u_n)$ be a sequence of fuzzy numbers.  We recover the slow oscillation of $(u_n)$ of fuzzy numbers from the Ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. Further, fuzzy analogues of some well known classical Tauberian theorems for Ces`{a}ro summability method are established as particular cases.

متن کامل

$(A)_ {Delta}$ - double Sequence Spaces of fuzzy numbers via Orlicz Function

The aim of this paper is to introduce and study a new concept ofstrong double $(A)_ {Delta}$-convergent sequence offuzzy numbers with respect to an Orlicz function and also someproperties of the resulting sequence spaces of fuzzy   numbers areexamined. In addition, we define the double$(A,Delta)$-statistical convergence of fuzzy  numbers andestablish some connections between the spaces of stron...

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: Europan journal of science and technology

سال: 2022

ISSN: ['2148-2683']

DOI: https://doi.org/10.31590/ejosat.1113886