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A074616 a(n) = 5^n + 7^n. 9

%I #16 Aug 26 2021 16:07:42

%S 2,12,74,468,3026,19932,133274,901668,6155426,42306732,292240874,

%T 2026154868,14085427826,98109713532,684326588474,4778079088068,

%U 33385518460226,233393453440332,1632228295176074,11417968671701268

%N a(n) = 5^n + 7^n.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (12,-35).

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

%F G.f.: 1/(1-5*x) + 1/(1-7*x).

%F E.g.f.: e^(5*x) + e^(7*x). (End)

%F a(n) = 12*a(n-1) - 35*a(n-2) with a(0)=2, a(1)=12. - _Vincenzo Librandi_, Jul 21 2010

%t Table[5^n + 7^n, {n, 0, 20}]

%t LinearRecurrence[{12,-35},{2,12},20] (* _Harvey P. Dale_, Aug 26 2021 *)

%Y Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600..A074624.

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 26 2002

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Last modified April 25 10:47 EDT 2024. Contains 371967 sequences. (Running on oeis4.)