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The On-Line Encyclopedia of Integer Sequences (OEIS)
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 3.2 Final//EN"> <html> <head> <link rel="stylesheet" href="/styles.css"> <meta name="format-detection" content="telephone=no"> <meta http-equiv="content-type" content="text/html; charset=utf-8"> <meta name=viewport content="width=device-width, initial-scale=1"> <meta name="keywords" content="OEIS,integer sequences,Sloane" /> <title>The On-Line Encyclopedia of Integer Sequences (OEIS)</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/history?seq=A062760" function redir() { var host = document.location.hostname; if(host != "oeis.org" && host != "127.0.0.1" && !/^([0-9.]+)$/.test(host) && host != "localhost" && host != "localhost.localdomain") { document.location = "https"+":"+"//"+"oeis"+".org/" + myURL; } } function sf() { if(document.location.pathname == "/" && document.f) document.f.q.focus(); } </script> </head> <body bgcolor=#ffffff onload="redir();sf()"> <div class=loginbar> <div class=login> <a href="/login?redirect=%2fhistory%3fseq%3dA062760">login</a> </div> </div> <div class=center><div class=top> <center> <div class=donors> The OEIS is supported by <a href="http://oeisf.org/#DONATE">the many generous donors to the OEIS Foundation</a>. </div> <div class=banner> <a href="/"><img class=banner border="0" width="600" src="/banner2021.jpg" alt="The On-Line Encyclopedia of Integer Sequences (OEIS)"></a> </div> </center> </div></div> <div class=center><div class=pagebody> <div class=searchbarcenter> <form name=f action="/search" method="GET"> <div class=searchbargreet> <div class=searchbar> <div class=searchq> <input class=searchbox maxLength=1024 name=q value="" title="Search Query"> </div> <div class=searchsubmit> <input type=submit value="Search" name=go> </div> <div class=hints> <span class=hints><a href="/hints.html">Hints</a></span> </div> </div> <div class=searchgreet> (Greetings from <a href="/welcome">The On-Line Encyclopedia of Integer Sequences</a>!) </div> </div> </form> </div> <center> <h2 style="margin-top:0; margin-bottom:0;"> Revision History for <a href="/A062760">A062760</a> </h2> (Bold, blue-underlined text is an <ins>addition</ins>; faded, red-underlined text is a <del>deletion</del>.) </center> <br> Showing entries 1-10 | <a href="/history?seq=A062760&start=10">older changes</a> <br> <div class=history> <div class=space1></div> <div class=line></div> <div class=seqhead> <div class=seqnumname> <div class=seqnum><a href="/A062760">A062760</a></div> <div class=seqname> a(n) is n divided by the largest power of the squarefree kernel of n (<a href="/A007947" title="Largest squarefree number dividing n: the squarefree kernel of n, rad(n), radical of n.">A007947</a>) which divides it. <br> <font size=-1>(<a href="/history?seq=A062760">history</a>; <a href="/A062760">published version</a>) </font> </div> </div> </div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=33">#33</a> by <a href="/history?user=N.%20J.%20A.%20Sloane">N. J. A. Sloane</a> at Sun Jun 23 22:09:40 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>proposed</del></tt></p> <p class="diffs"><tt><ins>approved</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=32">#32</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Fri Jun 14 08:51:28 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>editing</del></tt></p> <p class="diffs"><tt><ins>proposed</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=31">#31</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Fri Jun 14 08:51:24 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>COMMENTS</div> <div class=sectbody> <p class="diffs"><tt>a(n) is least d such that the prime power exponents of n/d are all equal<del> </del><del>(</del><ins>;</ins><ins> </ins>see also <a href="/A066636" title="a(n) = A066638(n)/n, where A066638(n) is the smallest power of a squarefree kernel of n that is a multiple of n.">A066636</a><del>)</del>. - <a href="/wiki/User:David_James_Sycamore">David James Sycamore</a>, Jun 13 2024</tt></p> </div> </div> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>proposed</del></tt></p> <p class="diffs"><tt><ins>editing</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=30">#30</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Fri Jun 14 02:22:23 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>editing</del></tt></p> <p class="diffs"><tt><ins>proposed</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=29">#29</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Fri Jun 14 02:22:18 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>COMMENTS</div> <div class=sectbody> <p class="diffs"><tt>a(n) is <del>the</del><del> </del><del>unique</del><del> </del><del>number</del><del> </del><ins>least</ins><ins> </ins>d <del>by</del><del> </del><del>which</del><del> </del><del>n</del><del> </del><del>must</del><del> </del><del>be</del><del> </del><del>divided</del><del> </del>such that the prime power exponents of n/d are all equal (see also <a href="/A066636" title="a(n) = A066638(n)/n, where A066638(n) is the smallest power of a squarefree kernel of n that is a multiple of n.">A066636</a>). - <a href="/wiki/User:David_James_Sycamore">David James Sycamore</a>, Jun 13 2024</tt></p> </div> </div> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>proposed</del></tt></p> <p class="diffs"><tt><ins>editing</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=28">#28</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Thu Jun 13 16:58:03 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>editing</del></tt></p> <p class="diffs"><tt><ins>proposed</ins></tt></p> </div> </div> </div> </div> <div class="space4"></div> <div class=discussbar> <div class=discusshead>Discussion</div> <div class=discussnote> <div class=date>Fri Jun 14</div> <div class=time>00:51</div> <pre class=note><span class=user>Michel Marcus</span>: are you sure about unique ? a(36) = 1 , but it could be 6 ; you w</pre> </div> <div class=discussnote> <div class=date></div> <div class=time>00:51</div> <pre class=note><span class=user>Michel Marcus</span>: you want least ?</pre> </div> <div class=discussnote> <div class=date></div> <div class=time>00:53</div> <pre class=note><span class=user>Michel Marcus</span>: "by which n must be divided" is not really necessary ? since comment uses n/d just afterward</pre> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=27">#27</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Thu Jun 13 16:57:58 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>COMMENTS</div> <div class=sectbody> <p class="diffs"><tt>a(n) is the unique number d by which n must be divided such that the prime power exponents of n/d are all equal (see also <a href="/A066636" title="a(n) = A066638(n)/n, where A066638(n) is the smallest power of a squarefree kernel of n that is a multiple of n.">A066636</a>).<ins> </ins><ins>-</ins><ins> </ins><ins>_</ins><ins>David</ins><ins> </ins><ins>James</ins><ins> </ins><ins>Sycamore</ins><ins>_</ins><ins>,</ins><ins> </ins><ins>Jun</ins><ins> </ins><ins>13</ins><ins> </ins><ins>2024</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=26">#26</a> by <a href="/history?user=Alois%20P.%20Heinz">Alois P. Heinz</a> at Thu Jun 13 16:49:34 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>proposed</del></tt></p> <p class="diffs"><tt><ins>editing</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=25">#25</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Thu Jun 13 16:02:03 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>editing</del></tt></p> <p class="diffs"><tt><ins>proposed</ins></tt></p> </div> </div> </div> </div> <div class="space4"></div> <div class=discussbar> <div class=discusshead>Discussion</div> <div class=discussnote> <div class=date>Thu Jun 13</div> <div class=time>16:49</div> <pre class=note><span class=user>Alois P. Heinz</span>: https://oeis.org/wiki/Style_Sheet#Signing_your_name_when_you_contribute_to_an_existing_sequence</pre> </div> </div> <div class=space4></div> <div class=resultline></div> <div class="revbar"> <a href="/history/view?seq=A062760&v=24">#24</a> by <a href="/history?user=David%20James%20Sycamore">David James Sycamore</a> at Thu Jun 13 16:01:58 EDT 2024 </div> <div> <div class=entry> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <p class="diffs"><tt><ins>Cf. <a href="/A066636" title="a(n) = A066638(n)/n, where A066638(n) is the smallest power of a squarefree kernel of n that is a multiple of n.">A066636</a>.</ins></tt></p> </div> </div> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <p class="diffs"><tt><del>proposed</del></tt></p> <p class="diffs"><tt><ins>editing</ins></tt></p> </div> </div> </div> </div> <div class=space4></div> <div class=space10></div> </div> </div></div> <p> <div class=footerpad></div> <div class=footer> <center> <div class=bottom> <div class=linksbar> <a href="/">Lookup</a> <a href="/wiki/Welcome"><font color="red">Welcome</font></a> <a href="/wiki/Main_Page"><font color="red">Wiki</font></a> <a href="/wiki/Special:RequestAccount">Register</a> <a href="/play.html">Music</a> <a href="/plot2.html">Plot 2</a> <a href="/demo1.html">Demos</a> <a href="/wiki/Index_to_OEIS">Index</a> <a href="/webcam">WebCam</a> <a href="/Submit.html">Contribute</a> <a href="/eishelp2.html">Format</a> <a href="/wiki/Style_Sheet">Style Sheet</a> <a href="/transforms.html">Transforms</a> <a href="/ol.html">Superseeker</a> <a href="/recent">Recents</a> </div> <div class=linksbar> <a href="/community.html">The OEIS Community</a> </div> <div class=linksbar> Maintained by <a href="http://oeisf.org">The OEIS Foundation Inc.</a> </div> <div class=dbinfo>Last modified February 19 15:03 EST 2025. 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