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Numbers k such that the decimal part of k^(1/8) starts with a 'nine digits' anagram.
1

%I #14 Aug 30 2024 17:57:06

%S 3927,4176,10041,10827,13575,15544,15853,17244,20154,24759,25146,

%T 30008,30038,30635,30692,32046,37215,43157,46006,47669,47789,49616,

%U 50234,52813,54903,57628,59459,84379,87739,90599,92421,93642,94090,99510

%N Numbers k such that the decimal part of k^(1/8) starts with a 'nine digits' anagram.

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

%e 3927^(1/8) = 2.{813569274}655856...

%t Select[Range[100000],Sort[Take[Drop[RealDigits[Surd[#,8],10,20][[1]],IntegerLength[Floor[ Surd[ #,8]]]],9]]==Range[9]&] (* _Harvey P. Dale_, Aug 30 2024 *)

%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