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.

A038235 Bottom line of 4-wave sequence A038197, also bisection of A006357.

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%I A038235 #21 Nov 24 2019 13:20:08
%S A038235 1,10,85,707,5864,48620,403104,3342081,27708726,229729153,1904652103,
%T A038235 15791202736,130922641160,1085461206128,8999406210929,74612811302754,
%U A038235 618604325665341,5128761469382475,42521840081752984,352542596245147348
%N A038235 Bottom line of 4-wave sequence A038197, also bisection of A006357.
%H A038235 F. v. Lamoen, <a href="http://home.wxs.nl/~lamoen/wiskunde/wave.htm">Wave sequences</a>
%H A038235 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (10,-15,7,-1)
%F A038235 Let v(4)=(1, 1, 1, 1), let M(4) be the 4 X 4 matrix m(i, j) = min(i, j); then a(n) = max(v(4)*M(4)^n). - _Benoit Cloitre_, Oct 03 2002
%F A038235 From _Floor van Lamoen_, Sep 13 2006: (Start)
%F A038235 a(n) = 10a(n-1) - 15a(n-2) + 7a(n-3) - a(n-4).
%F A038235 G.f.: 1/(1 - 10x + 15x^2 - 7x^3 + x^4). (End)
%t A038235 LinearRecurrence[{10,-15,7,-1},{1,10,85,707},20] (* _Harvey P. Dale_, Nov 24 2019 *)
%o A038235 (PARI) k=4; M(k)=matrix(k,k,i,j,min(i,j)); v(k)=vector(k,i,1); a(n)=vecmax(v(k)*M(k)^n)
%K A038235 nonn,easy
%O A038235 0,2
%A A038235 _Floor van Lamoen_