A263612 Palindromes in base 5 which are also squares.

0, 1, 4, 121, 10201, 12321, 114411, 1002001, 1234321, 100020001, 102030201, 121242121, 131141131, 10000200001, 10221412201, 12102420121, 131441144131, 1000002000001, 1002003002001, 1020304030201, 1143442443411, 1210024200121, 4133144413314, 4342230322434, 13431400413431, 100000020000001

Offset: 1

Author

N. J. A. Sloane, Oct 23 2015

Keywords

• base
• nonn

Comments

Terms displayed in base 5. - Harvey P. Dale, Jan 10 2023

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. A002778, A003166, A029988, A262611, A029989.

Programs

Mathematica

FromDigits[IntegerDigits[#,5]]&/@Select[Range[0,100000]^2,IntegerDigits[ #,5] == Reverse[ IntegerDigits[ #,5]]&] (* Harvey P. Dale, Jan 10 2023 *)