A263611 Base 5 numbers whose square is a palindrome in base 5.

0, 1, 2, 11, 101, 111, 231, 1001, 1111, 10001, 10101, 11011, 11204, 100001, 101101, 110011, 242204, 1000001, 1001001, 1010101, 1042214, 1100011, 2020303, 2043122, 2443304, 10000001, 10011001, 10100101, 11000011, 100000001, 100010001, 100101001, 101000101, 110000011, 111103411

Offset: 1

Author

N. J. A. Sloane, Oct 23 2015

Keywords

• nonn
• base

Comments

A029988 expressed in base 5.

Links

• G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]

Crossrefs

Cf. A007091, A002778, A029988, A263612, A029989.

Programs

Mathematica

With[{b = 5}, FromDigits@ IntegerDigits[#, b] & /@ Select[Range[b^9], PalindromeQ[IntegerDigits[#^2, b]] &]] (* Michael De Vlieger, Aug 15 2022 *)

Formula

a(n) = A007091(A029988(n)).

Extensions

Name corrected by Charles R Greathouse IV, Aug 15 2022