Non-Palindromes in Base 2 by Reverse-and-Add Process/Historical Note

Historical Note on Non-Palindromes in Base 2 by Reverse-and-Add Process
This result, according to in his $1986$ book, was given by , but the source for this has not been identified.

Independently of 's work, and, in the context of a children's mathematics club in , noted the reverse-and-add behaviour of $1010100_2$.

Their subsequent report in Volume $78$, issue $483$ of was used as the basis of the analysis given here in, but it needs to be pointed out that there are a number of mistakes in that source.