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A035123 Roots of 'non-palindromic squares remaining square when written backwards'. 6

%I #32 Jul 22 2023 08:13:46

%S 12,13,21,31,33,99,102,103,112,113,122,201,211,221,301,311,1002,1003,

%T 1011,1012,1013,1021,1022,1031,1101,1102,1103,1112,1113,1121,1122,

%U 1201,1202,1211,1212,1301,2001,2011,2012,2021,2022,2101,2102,2111,2121

%N Roots of 'non-palindromic squares remaining square when written backwards'.

%C Those with trailing zeros are excluded.

%C Union of ordered entries of A106323 and A106324. - _Lekraj Beedassy_, May 02 2005

%H Jon E. Schoenfield, <a href="/A035123/b035123.txt">Table of n, a(n) for n = 1..8448</a> (first 798 terms from Seiichi Manyama; all terms < 10^10)

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/square.htm">Palindromic Squares</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SquareNumber.html">Square Number</a>

%e 1212^2 = 1468944 -> 4498641 = 2121^2.

%t r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Select[Range[2200], Mod[#, 10] != 0 && IntegerQ[Sqrt[r[#^2]]] && r[#^2] != #^2 &] (* _Jean-François Alcover_, Mar 08 2011 *)

%Y Cf. A035090, A035125.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Nov 15 1998

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Last modified April 25 11:30 EDT 2024. Contains 371967 sequences. (Running on oeis4.)