Padovan numbers which are concatenations of three repdigits

Abstract

Padovan sequence is a ternary recurrent sequence defined by the recurrence relation Pn+3=Pn+1+Pn with initial terms P0=P1=P2=1. In this study it is shown that 114,151,200,265,351,465,616,816,3329,4410,7739,922111 are the only Padovan numbers which are concatenations of three repdigits.

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