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A155632 a(n) = 11^n - 4^n + 1^n. 17

%I #17 Aug 02 2021 20:05:46

%S 1,8,106,1268,14386,160028,1767466,19470788,214293346,2357685548,

%T 25936376026,285307476308,3138411599506,34522645035068,

%U 379749565147786,4177247095673828,45949725568604866,505447011319424588

%N a(n) = 11^n - 4^n + 1^n.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (16,-59,44).

%F G.f.: 1/(1-11*x)-1/(1-4*x)+1/(1-x). E.g.f.: e^(11*x)-e^(4*x)+e^x.

%F a(n)=15*a(n-1)-44*a(n-2)+30 with a(0)=1, a(1)=8 - _Vincenzo Librandi_, Jul 21 2010

%o (PARI) a(n)=11^n-4^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009

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Last modified April 25 13:26 EDT 2024. Contains 371971 sequences. (Running on oeis4.)