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.

A337879 a(n) is the length of the n-th line segment to draw the squares of the Fibonacci spiral without lifting the pencil, including superpositions.

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%I A337879 #46 Oct 10 2022 10:20:05
%S A337879 1,1,1,2,1,2,3,2,3,5,3,5,8,5,8,13,8,13,21,13,21,34,21,34,55,34,55,89,
%T A337879 55,89,144,89,144,233,144,233,377,233,377,610,377,610,987,610,987,
%U A337879 1597,987,1597,2584,1597,2584,4181,2584,4181,6765,4181,6765,10946
%N A337879 a(n) is the length of the n-th line segment to draw the squares of the Fibonacci spiral without lifting the pencil, including superpositions.
%C A337879 To draw the Fibonacci squares without lifting your pencil, go a(n) units and turn 90 degrees (same direction every time), and so on (see the animation).
%C A337879 As an array read by rows, with two columns, in which column 1 lists three copies of every nonzero term of A001906 in nondecreasing order, and the column 2 lists 1 together with three copies of every term > 1 of A001519 in nondecreasing order. - _Omar E. Pol_, Sep 29 2020
%H A337879 Victor Kelly, <a href="/A337879/a337879.gif">Animated GIF</a>
%H A337879 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,0,0,1).
%F A337879 a(n) = Fibonacci(A008611(n+2)). - _David A. Corneth_, Sep 28 2020
%F A337879 G.f.: -x*(x^5+x^3+x^2+x+1)/(x^6+x^3-1). - _Alois P. Heinz_, Sep 29 2020
%F A337879 a(n) = a(n-3) + a(n-6) for n > 6. - _Jinyuan Wang_, Sep 30 2020
%Y A337879 Cf. A000045, A001519, A001906, A008611.
%K A337879 nonn,easy
%O A337879 1,4
%A A337879 _Victor Kelly_, Sep 22 2020
%E A337879 More terms from _Alois P. Heinz_, Sep 29 2020