Journal of Integer Sequences, Vol. 21 (2018), Article 18.7.7

Repdigits as Sums of Four Fibonacci or Lucas Numbers


Benedict Vasco Normenyo
Institut de Mathématiques et de Sciences Physiques
Dangbo
Bénin

Florian Luca
School of Mathematics
University of the Witwatersrand
Private Bag X3
Wits 2050
South Africa
and
Department of Mathematics
Faculty of Sciences
University of Ostrava
30 Dubna 22
701 03 Ostrava 1
Czech Republic

Alain Togbé
Department of Mathematics, Statistics and Computer Science
Purdue University Northwest
1401 S, U.S. 421
Westville, IN 46391
USA

Abstract:

In this paper, we determine all base-10 repdigits expressible as sums of four Fibonacci or Lucas numbers.

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(Concerned with sequences A000032 A000045.)

Received May 26 2018; revised versions received May 27 2018; August 23 2018; August 29 2018. Published in Journal of Integer Sequences, September 8 2018.

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