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A263612 Palindromes in base 5 which are also squares. 3

%I #8 Jan 10 2023 19:34:41

%S 0,1,4,121,10201,12321,114411,1002001,1234321,100020001,102030201,

%T 121242121,131141131,10000200001,10221412201,12102420121,131441144131,

%U 1000002000001,1002003002001,1020304030201,1143442443411,1210024200121,4133144413314,4342230322434,13431400413431,100000020000001

%N Palindromes in base 5 which are also squares.

%C Terms displayed in base 5. - _Harvey P. Dale_, Jan 10 2023

%H G. J. Simmons, <a href="/A002778/a002778.pdf">On palindromic squares of non-palindromic numbers</a>, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]

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

%Y Cf. A002778, A003166, A029988, A262611, A029989.

%K base,nonn

%O 1,3

%A _N. J. A. Sloane_, Oct 23 2015

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)