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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 387-396
doi:10.1155/S0161171298000532

Lucas partitions

Neville Robbins

Mathematics Department, San Francisco State University, San Francisco 94132, CA, USA

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).