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.

A074615 a(n) = 5^n + 6^n.

This page as a plain text file.
%I A074615 #19 Aug 03 2025 19:00:03
%S A074615 2,11,61,341,1921,10901,62281,358061,2070241,12030821,70231801,
%T A074615 411625181,2420922961,14281397141,84467679721,500702562701,
%U A074615 2973697798081,17689598897861,105374653934041,628433226338621
%N A074615 a(n) = 5^n + 6^n.
%H A074615 G. C. Greubel, <a href="/A074615/b074615.txt">Table of n, a(n) for n = 0..1000</a>
%H A074615 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-30).
%F A074615 From _Mohammad K. Azarian_, Jan 11 2009: (Start)
%F A074615 G.f.: 1/(1-5*x) + 1/(1-6*x).
%F A074615 E.g.f.: exp(5*x) + exp(6*x). (End)
%F A074615 a(n) = 11*a(n-1) - 30*a(n-2) with a(0)=2, a(1)=11. - _Vincenzo Librandi_, Jul 21 2010
%t A074615 Table[5^n + 6^n, {n, 0, 20}]
%t A074615 LinearRecurrence[{11,-30},{2,11},20] (* _Harvey P. Dale_, Aug 03 2025 *)
%o A074615 (Magma) [5^n+6^n: n in [0..30]]; // _G. C. Greubel_, Jan 11 2023
%o A074615 (SageMath) [5^n+6^n for n in range(31)] # _G. C. Greubel_, Jan 11 2023
%Y A074615 Cf. A000051, A007689, A034472, A034474, A034491, A052539, A062394.
%Y A074615 Cf. A062395, A062396, A063376, A063481, A074600 to A074624.
%K A074615 easy,nonn
%O A074615 0,1
%A A074615 _Robert G. Wilson v_, Aug 26 2002