Arithmetical Study of a Certain Ternary Recurrence Sequence and Related Questions
نویسندگان
چکیده
The complete solution in (n, yx, yj) 6 Z3 of the Diophantine equation b„ = ±2yi yi is given, where (bn)nez is Berstel's recurrence sequence defined by />o = Z>i=0, b2 = l, b„+3 = 2bn+2 4b„+l + 4bn.
منابع مشابه
A Probabilistic Interpretation of a Sequence Related to Narayana Polynomials
A sequence of coefficients appearing in a recurrence for the Narayana polynomials is generalized. The coefficients are given a probabilistic interpretation in terms of beta distributed random variables. The recurrence established by M. Lasalle is then obtained from a classical convolution identity. Some arithmetical properties of the generalized coefficients are also established.
متن کامل164 Ternary Mirror - Symmetrical Arithmetic and Its Application to Digital Signal Processing
Digital signal processing (DSP) puts forward a number of specific demands to processors for realization of DSP. First of all the DSP-processors are arithmetical processors intended for arithmetical processing of big number information (signal samplings), which enter to the DSP-processor in a real scale of a time. At that arithmetical processing is reduced as a rule to realization of arithmetica...
متن کاملNon-commutative Residuated Lattices*
Introduction and summary. In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.f The investigation of such lattices was begun by W. Krull (Krull [3]) who discussed decompo...
متن کاملWeakly prime ternary subsemimodules of ternary semimodules
In this paper we introduce the concept of weakly prime ternary subsemimodules of a ternary semimodule over a ternary semiring and obtain some characterizations of weakly prime ternary subsemimodules. We prove that if $N$ is a weakly prime subtractive ternary subsemimodule of a ternary $R$-semimodule $M$, then either $N$ is a prime ternary subsemimodule or $(N : M)(N : M)N = 0$. If $N$ is a $Q$-...
متن کاملEFL Teacher Questions to Scaffold Learning Process: A Conversation Analytic Study
Questioning practice constitutes one of the typical and fundamental interactional tools in L2 teaching. Much L2 research on teacher questions has been quantitative studies focusing on identifying question types and their roles in language acquisition and meaning negotiation. However, by drawing on conversation analysis within a sociocultural perspective, this study examines qualitatively how EF...
متن کامل