Mathematica Bohemica, Vol. 145, No. 1, pp. 33-43, 2020


Lucas factoriangular numbers

Bir Kafle, Florian Luca, Alain Togbé

Received February 17, 2018.   Published online November 28, 2018.

Abstract:  We show that the only Lucas numbers which are factoriangular are $1$ and $2$.
Keywords:  Lucas number; factoriangular number
Classification MSC:  11A25, 11B39, 11J86


References:
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Affiliations:   Bir Kafle, Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville IN 46391, USA, e-mail: bkafle@pnw.edu; Florian Luca, School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits 2050, South Africa, and School of Mathematics, Faculty of Sciences, University of Ostrava, 30. dubna 22, 701 03 Ostrava 1, Czech Republic, e-mail florian.luca@wits.ac.za; Alain Togbé, Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville IN 46391, USA, e-mail: atogbe@pnw.edu


 
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