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Square roots of terms in A238237.
2

%I #16 Jan 02 2025 12:47:31

%S 9,45,55,99,703,999,4950,5050,7272,7777,9999,77778,82656,95121,99999,

%T 318682,329967,351352,356643,390313,461539,466830,499500,500500,

%U 533170,538461,609687,643357,648648,670033,681318,791505,812890,818181,851851,857143,961038

%N Square roots of terms in A238237.

%C Yet another variant of the Kaprekar numbers A006886.

%H Rémy Sigrist, <a href="/A290449/b290449.txt">Table of n, a(n) for n = 1..25000</a>

%t Sqrt[Select[Range[600000]^2, EvenQ[len=IntegerLength[#]] && # == (Mod[#, 10^(len/2)] + Floor[#/10^(len/2)])^2 &]] (* _Stefano Spezia_, Jan 01 2025 *)

%Y Cf. A238237, A006886.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, Aug 06 2017, following a suggestion from _Max Alekseyev_