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.

A083078 6th row of number array A083075.

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%I A083078 #25 May 07 2024 07:04:23
%S A083078 1,11,141,1831,23801,309411,4022341,52290431,679775601,8837082811,
%T A083078 114882076541,1493466995031,19415070935401,252395922160211,
%U A083078 3281146988082741,42654910845075631,554513840985983201
%N A083078 6th row of number array A083075.
%H A083078 Vincenzo Librandi, <a href="/A083078/b083078.txt">Table of n, a(n) for n = 0..900</a>
%H A083078 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-13).
%F A083078 a(n) = (5*13^n + 1)/6.
%F A083078 G.f.: (1-3*x)/((1-x)*(1-13*x)).
%F A083078 E.g.f.: (5*exp(13*x) + exp(x))/6.
%F A083078 a(n) = 13*a(n-1) - 2; a(n) = 14*a(n-1) - 13*a(n-2). - _Vincenzo Librandi_, Nov 11 2011
%t A083078 LinearRecurrence[{14,-13},{1,11},30] (* _Harvey P. Dale_, Dec 27 2013 *)
%Y A083078 Cf. A083075, A083077.
%K A083078 nonn,easy
%O A083078 0,2
%A A083078 _Paul Barry_, Apr 23 2003