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A207373 Numbers whose square is the product of a number and its reverse. 2

%I #17 Apr 12 2019 06:52:50

%S 252,403,504,660,816,2772,3267,4356,20502,22932,23632,25452,26962,

%T 27972,31003,32967,35143,41004,43956,45864,48384,48616,55242,58422,

%U 66976,75525,225522,252252,259952,279972,329967,341033,403403,439956,451044,504504,619916

%N Numbers whose square is the product of a number and its reverse.

%C Number and its reverse must have the same number of digits.

%C Number squared cannot be a palindrome. - _Harvey P. Dale_, Mar 12 2017

%H Giovanni Resta, <a href="/A207373/b207373.txt">Table of n, a(n) for n = 1..1169</a> (terms < 10^12, first 90 terms from Harvey P. Dale)

%e 35143^2 = 96721*12769.

%t nir[n_]:=If[PalindromeQ[n]||Divisible[n,10],0,n IntegerReverse[n]]; Sqrt[#] &/@ Select[Array[nir,500000],#!=0&&IntegerQ[Sqrt[#]]&]//Union (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Mar 12 2017 *)

%Y Cf. A076750.

%K nonn,base

%O 1,1

%A _Carmine Suriano_, Feb 17 2012

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Last modified April 16 14:51 EDT 2024. Contains 371749 sequences. (Running on oeis4.)