Title of article :
Supercobalancing numbers
Author/Authors :
Davala, Ravi Kumar National Institute of Technology, India , Panda, G. K. National Institute of Technology, India
Abstract :
A natural number n is called cobalancing number (with cobalancer r) if it satisfies the Diophantine equation 1+2+· · ·+n = (n+1)+(n+2)+· · ·+(n+r). However, if for some pair of natural numbers (n, r), 1+2+· · ·+n (n+1)+(n+2)+· · ·+(n+r) and equality is achieved after adding a natural number D to the right hand side then we call n a D-supercobalancing number with D-supercobalaner number r. In this paper, such numbers are studied for certain values of D.
Keywords :
Balancing numbers , Lucas , balancing numbers , cobalancing numbers , Pell numbers , associated Pell numbers
Journal title :
Matematika
Journal title :
Matematika
