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.
%I A085376 #25 Jul 14 2022 22:54:45 %S A085376 1,3,11,30,109,297,1079,2940,10681,29103,105731,288090,1046629, %T A085376 2851797,10360559,28229880,102558961,279447003,1015229051,2766240150, %U A085376 10049731549,27382954497,99482086439,271063304820,984771132841 %N A085376 Ratio-dependent insertion sequence I(0.36704) (see the link below). %C A085376 This sequence is the ratio-determined insertion sequence (RDIS) "twin" of I(0.37802)=A080874 and "child" of I(0.33344)=A001835 and I(0.38208)=A001906 in the RDIS recurrence tree (see the link for an explanation of terms). See A082630, A082981, A085348 and A085349 for recent examples of RDIS sequences. %C A085376 Conjecture: partial sums of A129445. - _Sean A. Irvine_, Jul 14 2022 %H A085376 John W. Layman, <a href="http://www.math.vt.edu/people/layman/sequences/ins_seq.htm">Ratio-Determined Insertion Sequences and the Tree of their Recurrence Types</a>, June 2003 [Broken link] %H A085376 John W. Layman, <a href="/A085376/a085376.txt">Ratio-Determined Insertion Sequences and the Tree of their Recurrence Types</a>, June 2003 [local copy, corrected] %H A085376 John W. Layman, <a href="https://intranet.math.vt.edu/people/layman/sequences/agedetit.htm">Sequences Generated by Age-Determined Insertion Trees</a>, Jan 2006 %H A085376 John W. Layman, <a href="/A117535/a117535.txt">Sequences Generated by Age-Determined Insertion Trees</a>, Jan 2006 [Local copy] %F A085376 It is conjectured that a(n) = 10*a(n-2) - a(n-4). %F A085376 Apparently a(n)*a(n+3) = -3 + a(n+1)*a(n+2). - _Ralf Stephan_, May 29 2004 %Y A085376 Cf. A001835, A001906, A080874, A082630, A082981, A085348, A085349. %K A085376 nonn %O A085376 1,2 %A A085376 _John W. Layman_, Jun 26 2003