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A342281 - 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>A342281 - OEIS</title> <link rel="search" type="application/opensearchdescription+xml" title="OEIS" href="/oeis.xml"> <script> var myURL = "\/A342281" 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=%2fA342281">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="A342281 - 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> <div class=sequence> <div class=space1></div> <div class=line></div> <div class=seqhead> <div class=seqnumname> <div class=seqnum> A342281 </div> <div class=seqname> A bisection of <a href="/A001951" title="A Beatty sequence: a(n) = floor(n*sqrt(2)).">A001951</a>: a(n) = <a href="/A001951" title="A Beatty sequence: a(n) = floor(n*sqrt(2)).">A001951</a>(2*n+1). </div> </div> <div class=scorerefs> 2 </div> </div> <div> <div class=seqdatabox> <div class=seqdata>1, 4, 7, 9, 12, 15, 18, 21, 24, 26, 29, 32, 35, 38, 41, 43, 46, 49, 52, 55, 57, 60, 63, 66, 69, 72, 74, 77, 80, 83, 86, 89, 91, 94, 97, 100, 103, 106, 108, 111, 114, 117, 120, 123, 125, 128, 131, 134, 137, 140, 142, 145, 148, 151, 154, 156, 159, 162, 165, 168</div> <div class=seqdatalinks> (<a href="/A342281/list">list</a>; <a href="/A342281/graph">graph</a>; <a href="/search?q=A342281+-id:A342281">refs</a>; <a href="/A342281/listen">listen</a>; <a href="/history?seq=A342281">history</a>; <a href="/search?q=id:A342281&fmt=text">text</a>; <a href="/A342281/internal">internal format</a>) </div> </div> </div> <div class=entry> <div class=section> <div class=sectname>OFFSET</div> <div class=sectbody> <div class=sectline>0,2</div> </div> </div> <div class=section> <div class=sectname>LINKS</div> <div class=sectbody> <div class=sectline><a href="/A342281/b342281.txt">Table of n, a(n) for n=0..59.</a></div> <div class=sectline>N. J. A. Sloane, <a href="/A115004/a115004.txt">Families of Essentially Identical Sequences</a>, Mar 24 2021 (Includes this sequence)</div> </div> </div> <div class=section> <div class=sectname>PROG</div> <div class=sectbody> <div class=sectline>(Python)</div> <div class=sectline>from sympy import integer_nthroot</div> <div class=sectline>def <a href="/A342281" title="A bisection of A001951: a(n) = A001951(2*n+1).">A342281</a>(n): return integer_nthroot(8*n*(n+1)+2, 2)[0] # <a href="/wiki/User:Chai_Wah_Wu">Chai Wah Wu</a>, Mar 16 2021</div> </div> </div> <div class=section> <div class=sectname>CROSSREFS</div> <div class=sectbody> <div class=sectline>Cf. <a href="/A001951" title="A Beatty sequence: a(n) = floor(n*sqrt(2)).">A001951</a>, <a href="/A022842" title="Beatty sequence for sqrt(8).">A022842</a>.</div> <div class=sectline>Sequence in context: <a href="/A080902" title="a(1)=1, a(n)=a(n-1)+2 if (n and n+3 are in the sequence), a(n)=a(n-1)+3 otherwise.">A080902</a> <a href="/A285210" title="Positions of 1 in A285208; complement of A285209.">A285210</a> <a href="/A356056" title="a(n) = A001951(A137803(n)).">A356056</a> * <a href="/A310953" title="Coordination sequence Gal.4.34.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t...">A310953</a> <a href="/A284796" title="Positions of 1's in A284793.">A284796</a> <a href="/A310954" title="Coordination sequence Gal.6.98.4 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t...">A310954</a></div> <div class=sectline>Adjacent sequences: <a href="/A342278" title="First differences of A342274.">A342278</a> <a href="/A342279" title="A bisection of A000201: a(n) = A000201(2*n+1).">A342279</a> <a href="/A342280" title="a(n) = A001952(2*n+1).">A342280</a> * <a href="/A342282" title="G.f. = 1-1/H(x) where H(x) = 1 + 2*x + 6*x^2 + 22*x^3 + 92*x^4 + 422*x^5 + 2074*x^6 + ... is a g.f. for the Baxter sequence ...">A342282</a> <a href="/A342283" title="a(n) = A342282(n)/2.">A342283</a> <a href="/A342284" title="Number of friendly 3-watermelons of length n.">A342284</a></div> </div> </div> <div class=section> <div class=sectname>KEYWORD</div> <div class=sectbody> <div class=sectline><span title="a sequence of nonnegative numbers">nonn</span></div> </div> </div> <div class=section> <div class=sectname>AUTHOR</div> <div class=sectbody> <div class=sectline><a href="/wiki/User:N._J._A._Sloane">N. J. A. Sloane</a>, Mar 16 2021</div> </div> </div> <div class=section> <div class=sectname>EXTENSIONS</div> <div class=sectbody> <div class=sectline>More terms from <a href="/wiki/User:Alois_P._Heinz">Alois P. Heinz</a>, Mar 16 2021</div> </div> </div> <div class=section> <div class=sectname>STATUS</div> <div class=sectbody> <div class=sectline>approved</div> </div> </div> </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 April 10 04:17 EDT 2025. Contains 382653 sequences.</div> <div class=legal> <a href="/wiki/Legal_Documents">License Agreements, Terms of Use, Privacy Policy</a> </div> </div> </center> </div> </body> </html>