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.

A083077 Fifth row of number array A083075.

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%I A083077 #16 Sep 08 2022 08:45:10
%S A083077 1,9,97,1065,11713,128841,1417249,15589737,171487105,1886358153,
%T A083077 20749939681,228249336489,2510742701377,27618169715145,
%U A083077 303799866866593,3341798535532521,36759783890857729,404357622799435017
%N A083077 Fifth row of number array A083075.
%H A083077 Vincenzo Librandi, <a href="/A083077/b083077.txt">Table of n, a(n) for n = 0..900</a>
%H A083077 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-11).
%F A083077 a(n) = (4*11^n + 1)/5.
%F A083077 G.f.: (1-3*x)/((1-x)*(1-11*x)).
%F A083077 E.g.f.: (4*exp(11*x) + exp(x))/5.
%F A083077 a(n) = 11*a(n-1) - 2, a(n) = 12*a(n-1) - 11*a(n-2). - _Vincenzo Librandi_, Nov 10 2011
%t A083077 LinearRecurrence[{12,-11},{1,9},30] (* _Harvey P. Dale_, Jun 14 2015 *)
%o A083077 (Magma) [(4*11^n+1)/5: n in [0..30]]; // _Vincenzo Librandi_, Nov 10 2011
%Y A083077 Cf. A083076, A066443, A083078.
%K A083077 nonn,easy
%O A083077 0,2
%A A083077 _Paul Barry_, Apr 23 2003