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.

A165760 a(n) = (16-9*8^n)/7.

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%I A165760 #11 Apr 08 2016 03:17:51
%S A165760 1,-8,-80,-656,-5264,-42128,-337040,-2696336,-21570704,-172565648,
%T A165760 -1380525200,-11044201616,-88353612944,-706828903568,-5654631228560,
%U A165760 -45237049828496,-361896398627984,-2895171189023888,-23161369512191120
%N A165760 a(n) = (16-9*8^n)/7.
%H A165760 G. C. Greubel, <a href="/A165760/b165760.txt">Table of n, a(n) for n = 0..500</a>
%H A165760 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (9,-8).
%F A165760 a(n) = 8*a(n-1)-16, a(0)=1.
%F A165760 a(n) = 9*a(n-1) - 8*a(n-2), a(0)= 1, a(1)= -8, for n>1.
%F A165760 G.f.: (1-17x)/(1-9x+8x^2).
%F A165760 a(n) = Sum_{0<=k<=n} A112555(n,k)*(-9)^(n-k).
%F A165760 E.g.f.: (1/7)*(16*exp(x) - 9*exp(8*x)). - _G. C. Greubel_, Apr 07 2016
%t A165760 (16-9*8^Range[0, 50])/7 (* or *) LinearRecurrence[{9, -8}, {1, -8}, 50] (* _G. C. Greubel_, Apr 07 2016 *)
%o A165760 (PARI) x='x+O('x^99); Vec((1-17*x)/(1-9*x+8*x^2)) \\ _Altug Alkan_, Apr 08 2016
%Y A165760 Cf. A112555.
%K A165760 easy,sign
%O A165760 0,2
%A A165760 _Philippe Deléham_, Sep 26 2009