THE INTEGER SEQUENCE B = B-n(P, Q) WITH PARAMETERS P AND Q

Küçük Resim Yok

Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Charles Babbage Res Ctr

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work, we first prove that every prime number p equivalent to 1 (mod 4) can be written of the form P-2-4Q with two positive integers P and Q, and then we define the sequence B-n(P, Q) to be B-0 = 2, B-1 = P and B-n = P Bn-1 - QB(n-2) for n >= 2 and derive some algebraic identities on it. Also we formulate the limit of cross ratio for four consecutive numbers B-n, Bn+1, Bn+2 and Bn+3.

Açıklama

WOS: 000357759400016

Anahtar Kelimeler

Fibonacci, Lucas, Pell numbers, Binet's formula, cross-ratio

Kaynak

Ars Combinatoria

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

121

Sayı

Künye