A342803 -id:A342803 - cp's OEIS frontend

A342942 Numbers whose palindromization is a perfect power.

12, 13, 34, 48, 67, 102, 123, 146, 408, 449, 696, 698, 942, 1002, 1030, 1234, 1367, 4008, 5221, 6948, 10002, 10030, 10203, 10406, 12124, 12345, 12568, 40008, 40409, 52280, 61732, 94206, 100002, 102214, 106625, 121024, 123456, 400008, 637832, 1000002, 1000300, 1002003

Offset: 1

Michel Marcus, Mar 30 2021

Palindromization is the function that extends the string representation of a number into a palindrome.

Even palindromization is the concatenation of a number and its reversal. Odd palindromization excludes the first digit of the reversal.

			12 is a term because 121 is a square.
13 is a term because 1331 is a cube.

Chai Wah Wu, Table of n, a(n) for n = 1..1997 (terms 1..100 from Michel Marcus)

Cf. A075786, A076443, A001597, A002113, A342803.

Select[Range[10,50000],Or@@(GCD@@Last/@FactorInteger@#>1&/@FromDigits/@(Join[a,Reverse@#]&/@{a=IntegerDigits@#,Most@a}))&] (* Giorgos Kalogeropoulos, Mar 30 2021 *)

rev(x) = strjoin(Vecrev(Str(x)));
isok(m) = ispower(eval(Str(m, rev(m)))) || ispower(eval(Str(m, rev(m\10))));

cp's OEIS Frontend

A342942 Numbers whose palindromization is a perfect power.

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