论文标题

Padovan数字是三个repdigits的串联

Padovan numbers which are concatenations of three repdigits

论文作者

Bhoi, Kisan, Ray, Prasanta Kumar

论文摘要

Padovan序列是由复发关系定义的三元复发序列$ p_ {n+3} = p_ {n+1}+p_ {n} $,带有初始项$ p_ {0} = p_ {1} = p_ {1} = p_ {2} = p_ {2} = 1。 $ 114,151,200,200,265,351,465,616,816,3329,4410,7739,922111 $是唯一的padovan数字,是三种额定额的串联。

Padovan sequence is a ternary recurrent sequence defined by the recurrence relation $P_{n+3}=P_{n+1}+P_{n}$ with initial terms $P_{0}=P_{1}=P_{2}=1.$ 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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