International Journal of Mathematics and Mathematical Sciences 
Volume 12 (1989), Issue 3, Pages 619-623
doi:10.1155/S0161171289000761

The diophantine equation ni+1=k(dn−1)

Steve Ligh and Keith Bourque

 Department of Mathematics, The University of Southwestern Louisiana, Lafayette 70504, LA, USA
Received 21 October 1987

Abstract

The Diophantine equation of the title is solved for i=3,4 and an infinite family of solutions were found for i≥5.