International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 387-396
doi:10.1155/S0161171298000532
Lucas partitions
Mathematics Department, San Francisco State University, San Francisco 94132, CA, USA
Received 1 April 1996
Copyright © 1998 Neville Robbins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The Lucas sequence is defined by:
L0=2,L1=1,Ln=Ln−1+Ln−2 for n≥2. Let
V(n), r(n) denote respectively the number of partitions of n into parts, distinct parts from {Ln}. We
develop formulas that facilitate the computation of V(n) and r(n).