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.
%I A083301 #28 Sep 08 2022 08:45:10
%S A083301 1,6,52,408,3280,26208,209728,1677696,13421824,107374080,858993664,
%T A083301 6871947264,54975582208,439804649472,3518437212160,28147497664512,
%U A083301 225179981381632,1801439850921984,14411518807638016,115292150460579840
%N A083301 a(n) = (4*8^n + (-2)^n)/5.
%C A083301 Binomial transform of A083300.
%H A083301 Vincenzo Librandi, <a href="/A083301/b083301.txt">Table of n, a(n) for n = 0..300</a>
%H A083301 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,16).
%F A083301 G.f.: 1/((1-8*x)(1+2*x)).
%F A083301 E.g.f.: (4*exp(8*x) + exp(-2*x))/5.
%t A083301 Table[(4 * 8^n + (-2)^n)/5, {n, 0, 19}] (* _Alonso del Arte_, Mar 29 2011 *)
%o A083301 (Sage) [lucas_number1(n,6,-16) for n in range(1, 21)] # _Zerinvary Lajos_, Apr 24 2009
%o A083301 (Magma) [(4*8^n+(-2)^n)/5: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011
%o A083301 (PARI) a(n)=4^(n+1)\/5<<n \\ _Charles R Greathouse IV_, Jun 29 2011
%Y A083301 Cf. A083302.
%K A083301 easy,nonn
%O A083301 0,2
%A A083301 _Paul Barry_, Apr 24 2003