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Pell and Pell-Lucas numbers with only one distinct digit

Bernadette Faye, Florian Luca

Acta Biologica Plantarum Agriensis (Eszterházy Károly University, Hungary) · 2015 · 30 citations · 3 references

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Abstract

In this paper, we show that there are no Pell or Pell-Lucas numbers larger
\nthan 10 with only one distinct digit.

References

3

A generalization of a theorem of Baker and Davenport

Andrej Dujella · The Quarterly Journal of Mathematics · 1998 · 287 citations

, , +5

On a conjecture about repdigits in k-generalized Fibonacci sequences

Jhon J. Bravo, Florian Luca · Publicationes Mathematicae Debrecen · 2013 · 116 citations · Full text

, , +6

Fibonacci and Lucas numbers with only one distinct digit.

Florian Luca · Portugaliae Mathematica · 2000 · 89 citations

, , +3