A074615 - OEIS

%I #17 Jan 12 2023 01:38:10

%S 2,11,61,341,1921,10901,62281,358061,2070241,12030821,70231801,

%T 411625181,2420922961,14281397141,84467679721,500702562701,

%U 2973697798081,17689598897861,105374653934041,628433226338621

%N a(n) = 5^n + 6^n.

%H G. C. Greubel, <a href="/A074615/b074615.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-30).

%F From _Mohammad K. Azarian_, Jan 11 2009: (Start)

%F G.f.: 1/(1-5*x) + 1/(1-6*x).

%F E.g.f.: exp(5*x) + exp(6*x). (End)

%F a(n) = 11*a(n-1) - 30*a(n-2) with a(0)=2, a(1)=11. - _Vincenzo Librandi_, Jul 21 2010

%t Table[5^n + 6^n, {n, 0, 20}]

%o (Magma) [5^n+6^n: n in [0..30]]; // _G. C. Greubel_, Jan 11 2023

%o (SageMath) [5^n+6^n for n in range(31)] # _G. C. Greubel_, Jan 11 2023

%Y Cf. A000051, A007689, A034472, A034474, A034491, A052539, A062394.

%Y Cf. A062395, A062396, A063376, A063481, A074600 to A074624.

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 26 2002