cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A233455 Numbers k such that k^9 starts with k itself (in base 10).

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%I A233455 #23 Aug 27 2023 16:39:38
%S A233455 0,1,10,75,100,750,1000,4217,7499,10000,100000,177828,1000000,
%T A233455 10000000,74989421,100000000,1000000000,5623413252,10000000000,
%U A233455 100000000000,177827941004,1000000000000,1778279410039,10000000000000,56234132519035,100000000000000
%N A233455 Numbers k such that k^9 starts with k itself (in base 10).
%H A233455 G. L. Honaker, Jr. and Chris Caldwell, <a href="https://t5k.org/curios/cpage/26595.html">Prime Curios! 7499</a>
%e A233455 750^9 = 75084686279296875000000000 begins with 750, so 750 is in the sequence.
%t A233455 Join[{0}, Select[Range@ 1000000, Take[IntegerDigits[#^9], IntegerLength@ #] == IntegerDigits@ # &]] (* _Michael De Vlieger_, Aug 31 2015 *)
%o A233455 (PARI) r=112; print1(1, ", "); e=9; for(n=2, r, p=round((10^(1/(e-1)))^n); f=p^e; b=10^(#Str(f)-#Str(p)); if((f-lift(Mod(f, b)))/b==p, print1(p, ", ")));
%Y A233455 Cf. A052210, A052211, A233451, A233452, A233453, A233454, A233456.
%K A233455 nonn,base,easy
%O A233455 1,3
%A A233455 _Arkadiusz Wesolowski_, Dec 10 2013
%E A233455 0 inserted by _Juhani Heino_, Aug 31 2015