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 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