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.

A088355 G.f.: A(x) = 1/(1-x - x/(1-x - x^2/(1-x - x^3/(1-x - x^4/(1-x - x^5/(...)))))), a continued fraction.

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%I A088355 #16 Sep 24 2017 04:53:37
%S A088355 1,2,5,14,41,122,366,1103,3332,10078,30503,92360,279722,847283,
%T A088355 2566640,7775383,23555412,71361969,216195801,654983362,1984334264,
%U A088355 6011741892,18213205238,55178866432,167170395758,506461095121,1534379837420,4648573702811,14083369899731,42667133594949
%N A088355 G.f.: A(x) = 1/(1-x - x/(1-x - x^2/(1-x - x^3/(1-x - x^4/(1-x - x^5/(...)))))), a continued fraction.
%H A088355 Vaclav Kotesovec, <a href="/A088355/b088355.txt">Table of n, a(n) for n = 0..1000</a>
%F A088355 a(n) ~ c * d^n, where d = 3.0296112619721892426435033662444766469370800620363379560921091791758304730314... and c = 0.46759853331494118178113003272909690207439354761370218749894486984354... - _Vaclav Kotesovec_, Sep 24 2017
%t A088355 nmax = 40; CoefficientList[Series[1/Fold[(1 - x - #2/#1) &, 1, Reverse[x^Range[nmax]]], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Sep 24 2017 *)
%o A088355 (PARI) N = 66;  q = 'q + O('q^N);
%o A088355 G(k) = if(k>N, 1, 1/( 1 - q - q^(k+1)*G(k+1)) );
%o A088355 gf = G(0); Vec(gf) \\ _Joerg Arndt_, Jun 29 2013
%K A088355 nonn
%O A088355 0,2
%A A088355 _Paul D. Hanna_, Sep 26 2003
%E A088355 Added more terms, _Joerg Arndt_, Jun 29 2013