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.

A015576 Expansion of x/(1 - 8*x - 7*x^2).

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%I A015576 #36 Dec 18 2023 10:04:15
%S A015576 0,1,8,71,624,5489,48280,424663,3735264,32854753,288984872,2541862247,
%T A015576 22357792080,196655372369,1729747523512,15214567794679,
%U A015576 133824775022016,1177100174738881,10353574823065160,91068299807693447,801021422223003696,7045649476437883697,61972345767064095448
%N A015576 Expansion of x/(1 - 8*x - 7*x^2).
%C A015576 Pisano period lengths: 1, 2, 8, 4, 24, 8, 1, 4, 24, 24, 5, 8, 12, 2, 24, 4, 96, 24, 18, 24, ... - _R. J. Mathar_, Aug 10 2012
%H A015576 Vincenzo Librandi, <a href="/A015576/b015576.txt">Table of n, a(n) for n = 0..1000</a>
%H A015576 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,7).
%F A015576 a(n) = 8*a(n-1) + 7*a(n-2).
%t A015576 Join[{a=0,b=1},Table[c=8*b+7*a;a=b;b=c,{n,100}]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 17 2011 *)
%t A015576 LinearRecurrence[{8, 7}, {0, 1}, 30] (* _Vincenzo Librandi_, Nov 14 2012 *)
%o A015576 (Sage) [lucas_number1(n,8,-7) for n in range(0, 20)] # _Zerinvary Lajos_, Apr 25 2009
%o A015576 (Magma) [n le 2 select n-1 else 8*Self(n-1) + 7*Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Nov 14 2012
%o A015576 (PARI) x='x+O('x^30); concat([0], Vec(x/(1-8*x-7*x^2))) \\ _G. C. Greubel_, Jan 06 2018
%K A015576 nonn,easy
%O A015576 0,3
%A A015576 _Olivier Gérard_