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.

A199422 5*7^n+1.

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%I A199422 #13 Sep 08 2022 08:46:00
%S A199422 6,36,246,1716,12006,84036,588246,4117716,28824006,201768036,
%T A199422 1412376246,9886633716,69206436006,484445052036,3391115364246,
%U A199422 23737807549716,166164652848006,1163152569936036,8142067989552246,56994475926865716
%N A199422 5*7^n+1.
%H A199422 Vincenzo Librandi, <a href="/A199422/b199422.txt">Table of n, a(n) for n = 0..1000</a>
%H A199422 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,-7).
%F A199422 a(n) = 6*A083067(n).
%F A199422 a(n) = 7*a(n-1)-6.
%F A199422 a(n) = 8*a(n-1)-7*a(n-2).
%F A199422 G.f.: 6*(1-2*x)/((1-x)*(1-7*x)).
%t A199422 5*7^Range[0,20]+1 (* or *) LinearRecurrence[{8,-7},{6,36},20] (* _Harvey P. Dale_, Dec 23 2012 *)
%o A199422 (Magma) [5*7^n+1: n in [0..30]];
%K A199422 nonn,easy
%O A199422 0,1
%A A199422 _Vincenzo Librandi_, Nov 07 2011