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.

A059508 Transform of A059502 applied to sequence 5,6,7,...

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%I A059508 #22 Sep 10 2017 19:18:57
%S A059508 5,11,29,79,216,590,1609,4381,11911,32339,87690,237496,642509,1736399,
%T A059508 4688081,12645655,34080924,91775426,246948241,663999649,1784138875,
%U A059508 4790751131,12856028814,34478744044,92416515221
%N A059508 Transform of A059502 applied to sequence 5,6,7,...
%C A059508 The fifth row of the array A059503.
%H A059508 G. C. Greubel, <a href="/A059508/b059508.txt">Table of n, a(n) for n = 1..1000</a>
%H A059508 <a href="/index/Bo#boustrophedon">Index entries for sequences related to boustrophedon transform</a>
%H A059508 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,-11,6,-1).
%F A059508 From _Colin Barker_, Nov 30 2012: (Start)
%F A059508 a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4).
%F A059508 G.f.: x*(1-x)*(4*x^2-14*x+5)/(x^2-3*x+1)^2. (End)
%F A059508 a(n) = ((3 - n)*Fibonacci(2*n) + (20 + 3*n)*Fibonacci(2*n - 1))/5. - _G. C. Greubel_, Sep 10 2017
%t A059508 Rest[CoefficientList[Series[x*(1-x)*(4*x^2 - 14*x + 5)/(x^2 - 3*x + 1)^2, {x, 0, 50}], x]] (* _G. C. Greubel_, Sep 10 2017 *)
%o A059508 (PARI) Vec(-x*(x-1)*(4*x^2-14*x+5)/(x^2-3*x+1)^2 + O(x^40)) \\ _Michel Marcus_, Sep 09 2017
%Y A059508 Cf. A000667, A059216, A059219, A059502, A059503.
%K A059508 easy,nonn
%O A059508 1,1
%A A059508 _Floor van Lamoen_, Jan 19 2001