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A263611
Base 5 numbers whose square is a palindrome in base 5.
2
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
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
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Oct 23 2015
EXTENSIONS
Name corrected by Charles R Greathouse IV, Aug 15 2022
STATUS
approved