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.

A118669 Numbers that are not squarefree, but contain their squarefree kernel in decimal representation.

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%I A118669 #10 Feb 16 2025 08:33:01
%S A118669 25,32,36,96,100,125,128,162,216,243,256,300,486,512,576,625,648,700,
%T A118669 768,864,1000,1024,1100,1215,1296,1300,1536,1700,1900,2048,2100,2300,
%U A118669 2430,2900,2916,3000,3100,3125,3300,3456,3700,3773,3900,4100,4300,4608
%N A118669 Numbers that are not squarefree, but contain their squarefree kernel in decimal representation.
%C A118669 For k>1: m*10^k are terms for squarefree numbers m coprime to 10.
%C A118669 If m is a term and coprime to 10 then also 10*m is a term.
%H A118669 Amiram Eldar, <a href="/A118669/b118669.txt">Table of n, a(n) for n = 1..10000</a>
%H A118669 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Squarefree.html">Squarefree</a>.
%t A118669 Select[Range[5000], (r = rad[#]) < # && SequenceCount @@ IntegerDigits[{#, r}] > 0 &] (* _Amiram Eldar_, Sep 07 2020 *)
%Y A118669 Cf. A005117, A013929, A007947, A076333.
%K A118669 nonn,base
%O A118669 1,1
%A A118669 _Reinhard Zumkeller_, May 19 2006