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.

A074603 a(n) = 2^n + 8^n.

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%I A074603 #23 Jul 08 2024 21:42:50
%S A074603 2,10,68,520,4112,32800,262208,2097280,16777472,134218240,1073742848,
%T A074603 8589936640,68719480832,549755822080,4398046527488,35184372121600,
%U A074603 281474976776192,2251799813816320,18014398509744128,144115188076380160
%N A074603 a(n) = 2^n + 8^n.
%H A074603 Vincenzo Librandi, <a href="/A074603/b074603.txt">Table of n, a(n) for n = 0..200</a>
%H A074603 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-16).
%F A074603 a(n) = 8*a(n-1) - 2^n = 10*a(n-1) - 16*a(n-2).
%F A074603 From _Mohammad K. Azarian_, Jan 02 2009: (Start)
%F A074603 G.f.: 1/(1-2*x) + 1/(1-8*x).
%F A074603 E.g.f.: e^(2*x) + e^(8*x). (End)
%t A074603 Table[2^n + 8^n, {n, 0, 25}]
%t A074603 LinearRecurrence[{10,-16},{2,10},30] (* _Harvey P. Dale_, Jan 23 2015 *)
%o A074603 (Magma) [2^n + 8^n: n in [0..35]]; // _Vincenzo Librandi_, Apr 30 2011
%Y A074603 Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.
%K A074603 easy,nonn
%O A074603 0,1
%A A074603 _Robert G. Wilson v_, Aug 25 2002