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A074505 a(n) = 1^n + 2^n + 9^n. 0

%I #17 Aug 28 2019 09:06:26

%S 3,12,86,738,6578,59082,531506,4783098,43046978,387421002,3486785426,

%T 31381061658,282429540578,2541865836522,22876792471346,

%U 205891132127418,1853020188917378,16677181699797642,150094635297261266

%N a(n) = 1^n + 2^n + 9^n.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (12,-29,18).

%F From _Mohammad K. Azarian_, Dec 26 2008: (Start)

%F G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-9*x).

%F E.g.f.: e^x + e^(2*x) + e^(9*x). (End)

%F a(n) = 11*a(n-1) - 18*a(n-2) + 8 with a(0)=3, a(1)=12. - _Vincenzo Librandi_, Jul 21 2010

%t Table[1^n + 2^n + 9^n, {n, 0, 20}]

%t LinearRecurrence[{12,-29,18},{3,12,86},30] (* _Harvey P. Dale_, Aug 28 2019 *)

%Y Cf. A001550, A001576, A034513, A001579, A074501..A074580.

%K easy,nonn

%O 0,1

%A _Robert G. Wilson v_, Aug 23 2002

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)