منابع مشابه
Polynomial Generalizations of the Pell sequence and the Fibonacci sequence
We provide three new polynomial generalizations for the Pell sequence an, also, new formulas for this sequence. An interesting relation, in terms of partitions, between the Pell and the Fibonacci sequences is given, Finally two combinatorial interpretations for the Fibonacci numbers are given by making use of the Rogers-Ramanujan identities.
متن کاملOn Pell, Pell-Lucas, and balancing numbers
In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the integer sequences mentioned in the text.
متن کاملDynamics of cytochrome bf complex of photosynthesis apparatus
Photosynthesis is a process under which, the radiative energy is converted into the chemical one. Compared to the man-made devices, the photosynthesis apparatus is much more efficient. This high efficiency comes from its elaborate structure, very fast transition rates and a complex electron and proton transfer chain among the subunits of the apparatus. Its main subunits (Photosystem I (PSI), bf...
متن کاملThe generalized order-k Fibonacci–Pell sequence by matrix methods
In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, thenwe define a new recurrence, which we call generalized order-k F–P sequence. Also we present a systematic investigation of the generalized order-k F–P sequence. We give the generalized Binet formula, some identities and an explicit formula for sums of the generalized order-k F–P sequence by matrix me...
متن کاملModified k-Pell Sequence: Some Identities and Ordinary Generating Function
Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell sequence allow us to obtain some identities for Modified k-Pell numbers. Also the ordinary generating function for the Modified k-Pell sequence and another expression for the general term of the sequence, using the ordinary generating function, is provided. Mathematics Subject Classification 2010: 11B37, ...
متن کاملذخیره 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: International Journal of Computer Applications
سال: 2010
ISSN: 0975-8887
DOI: 10.5120/1130-1481