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

1,3

Comments

A029988 expressed in base 5.

Links

Table of n, a(n) for n=1..35.

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

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A097463 A263607 A083394 * A256495 A087988 A072382

Adjacent sequences: A263608 A263609 A263610 * A263612 A263613 A263614

Keyword

nonn,base

Author

N. J. A. Sloane, Oct 23 2015

Extensions

Name corrected by Charles R Greathouse IV, Aug 15 2022

Status

approved