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Numbers k such that the decimal part of k^(1/10) starts with a 'nine digits' anagram.
1

%I #15 Aug 14 2024 16:17:43

%S 144,346,2863,8378,9134,12518,12528,17402,23115,25115,30966,31734,

%T 34032,34319,34851,35597,39209,41519,50128,50397,50729,51160,51191,

%U 51867,90179,92552,93960,94270,94304,98872,100151,102260,104540,105609

%N Numbers k such that the decimal part of k^(1/10) starts with a 'nine digits' anagram.

%H Patrick De Geest, <a href="https://www.worldofnumbers.com/ninedigits.htm">Nine Digits Digressions</a>

%e 92552^(1/10) = 3.{137896254}602580...

%t ndaQ[k_]:=With[{c=N[Surd[k,10],20]},Sort[NumberDigit[c,Range[-9,-1]]] == Range[9]];Select[Range[10000],ndaQ] (* _Harvey P. Dale_, Nov 07 2021 *)

%Y Cf. A034277.

%K nonn,base

%O 1,1

%A _Patrick De Geest_, Oct 15 1998

%E Offset changed by _Andrew Howroyd_, Aug 14 2024