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.

A083295 a(n) = (4*2^n + (-8)^n)/5.

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%I A083295 #11 Jun 29 2023 18:18:55
%S A083295 1,0,16,-96,832,-6528,52480,-419328,3355648,-26843136,214749184,
%T A083295 -1717985280,13743898624,-109951156224,879609315328,-7036874391552,
%U A083295 56294995394560,-450359962632192,3602879702106112,-28823037614751744,230584300922208256
%N A083295 a(n) = (4*2^n + (-8)^n)/5.
%C A083295 Binomial transform of A083294.
%H A083295 Vincenzo Librandi, <a href="/A083295/b083295.txt">Table of n, a(n) for n = 0..300</a>
%H A083295 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-6, 16).
%F A083295 a(n) = (4*2^n + (-8)^n)/5.
%F A083295 G.f.: (1+6*x)/((1-2*x)*(1+8*x)).
%F A083295 E.g.f.: (4*exp(2*x) + exp(-8*x))/5.
%o A083295 (Magma) [(4*2^n+(-8)^n)/5: n in [0..30]]; // _Vincenzo Librandi_, Jun 08 2011
%Y A083295 Cf. A083296.
%K A083295 easy,sign
%O A083295 0,3
%A A083295 _Paul Barry_, Apr 24 2003