cp's OEIS Frontend

A085349 Ratio-determined insertion sequence I(0.26688) (see the link below).

%I A085349 #14 May 13 2021 10:40:30
%S A085349 1,4,15,71,269,1274,4827,22861,86617,410224,1554279,7361171,27890405,
%T A085349 132090854,500473011,2370274201,8980623793,42532844764,161150755263,
%U A085349 763220931551,2891732970941,13695443923154,51890042721675
%N A085349 Ratio-determined insertion sequence I(0.26688) (see the link below).
%C A085349 This is one of the "twin" ratio-determined insertion sequences (RDIS) that are "children" in the next generation below the "parent" sequences I(0.25024) (A004253) and I(0.26816) (A001353) in the recurrence tree of RDIS sequences. The RDIS twin of this sequence is A085348. See the link for an explanation of RDIS twin. See A082630 or A082981 for other recent examples of RDIS sequences.
%H A085349 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 A085349 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 A085349 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 A085349 John W. Layman, <a href="/A117535/a117535.txt">Sequences Generated by Age-Determined Insertion Trees</a>, Jan 2006 [Local copy]
%H A085349 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 18, 0, -1).
%F A085349 It appears that a(n)=18a(n-2)-a(n-4).
%F A085349 Apparently a(n)a(n+3) = 11 + a(n+1)a(n+2). - _Ralf Stephan_, May 29 2004
%t A085349 LinearRecurrence[{0,18,0,-1},{1,4,15,71},30] (* _Harvey P. Dale_, Mar 04 2013 *)
%Y A085349 Cf. A001353, A004253, A082630, A082981, A085348.
%K A085349 nonn
%O A085349 1,2
%A A085349 _John W. Layman_, Jun 24 2003