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.

A336030 a(n) = Fibonacci(n-1) + Fibonacci(floor(n/2)).

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%I A336030 #12 Jul 07 2020 06:43:21
%S A336030 1,0,2,2,3,4,7,10,16,24,39,60,97,152,246,390,631,1008,1631,2618,4236,
%T A336030 6820,11035,17800,28801,46512,75258,121626,196795,318188,514839,
%U A336030 832650,1347256,2179296,3526175,5704484,9230049,14932936,24161998,39092350,63252751,102340920
%N A336030 a(n) = Fibonacci(n-1) + Fibonacci(floor(n/2)).
%C A336030 For n>=2, a(n) is the number of oriented rational links with crossing number n and deficiency 0.
%H A336030 Yuanan Diao, Michael Finney, and Dawn Ray, <a href="https://arxiv.org/abs/2007.02819">The number of oriented rational links with a given deficiency number</a>, arXiv:2007.02819 [math.GT], 2020. See Remark 5 p. 16.
%H A336030 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,2,-1,0,-1,-1).
%F A336030 G.f.: -(3*x^4-x^3+x-1)/((x^2+x-1)*(x^4+x^2-1)). - _Alois P. Heinz_, Jul 07 2020
%o A336030 (PARI) a(n) = fibonacci(n-1) + fibonacci(n\2);
%Y A336030 Cf. A000045 (Fibonacci numbers).
%K A336030 nonn,easy
%O A336030 0,3
%A A336030 _Michel Marcus_, Jul 07 2020