%0 Journal Article %A Carlos Alexis Gómez Ruiz %A Florian Luca %T An exponential Diophantine equation related to the sum of powers of two consecutive $k$-generalized Fibonacci numbers %J Colloquium Mathematicum %D 2014 %P 171-188 %V 137 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-3/ %R 10.4064/cm137-2-3 %G en %F 10_4064_cm137_2_3