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.

A355046 Expansion of the continued fraction 1 / (1-q / (1-q-q^3 / (1-q-q^3-q^5 / (1-q-q^3-q^5-q^7 / (...))))).

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%I A355046 #6 Jun 02 2025 15:25:58
%S A355046 1,1,2,4,9,21,49,115,271,640,1514,3585,8494,20134,47740,113221,268557,
%T A355046 637077,1511402,3585843,8507837,20186405,47896899,113648058,269662860,
%U A355046 639857869,1518267397,3602589217,8548353709,20283885193,48130511518,114206363723,270994509775,643029572029
%N A355046 Expansion of the continued fraction 1 / (1-q / (1-q-q^3 / (1-q-q^3-q^5 / (1-q-q^3-q^5-q^7 / (...))))).
%o A355046 (PARI) N=44; q='q+O('q^N);
%o A355046 f(n) = 1 - sum(k=1,n-1,q^(2*k-1));
%o A355046 s=1; forstep(j=N, 1, -1, s = q^(2*j-1)/s; s = f(j) - s ); s = 1/s
%o A355046 Vec(s)
%Y A355046 Cf. A355040, A355043.
%K A355046 nonn
%O A355046 0,3
%A A355046 _Joerg Arndt_, Jun 16 2022