The authors determine all solutions for repdigits as differences of associated Pell numbers, associated Pell numbers as differences of repdigits, and associated Pell numbers formed by concatenating three repdigits.
Matveev, An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers II, Izv
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Some Diophantine Equations involving associated Pell numbers and repdigits
The authors determine all solutions for repdigits as differences of associated Pell numbers, associated Pell numbers as differences of repdigits, and associated Pell numbers formed by concatenating three repdigits.