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A074504 a(n) = 1^n + 2^n + 8^n. 0

%I #17 Oct 17 2020 16:49:50

%S 3,11,69,521,4113,32801,262209,2097281,16777473,134218241,1073742849,

%T 8589936641,68719480833,549755822081,4398046527489,35184372121601,

%U 281474976776193,2251799813816321,18014398509744129,144115188076380161

%N a(n) = 1^n + 2^n + 8^n.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (11,-26,16).

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

%F G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-8*x).

%F E.g.f.: e^x + e^(2*x) + e^(8*x). (End)

%F a(n) = 10*a(n-1) - 16*a(n-2) + 7 with a(0)=3, a(1)=11. - _Vincenzo Librandi_, Jul 21 2010

%t Table[1^n + 2^n + 8^n, {n, 0, 20}]

%t LinearRecurrence[{11,-26,16},{3,11,69},20] (* _Harvey P. Dale_, Oct 17 2020 *)

%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 March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)