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A198646 a(n) = 11*3^n-1. 2

%I #14 Sep 08 2022 08:45:59

%S 10,32,98,296,890,2672,8018,24056,72170,216512,649538,1948616,5845850,

%T 17537552,52612658,157837976,473513930,1420541792,4261625378,

%U 12784876136,38354628410,115063885232,345191655698,1035574967096,3106724901290

%N a(n) = 11*3^n-1.

%H Vincenzo Librandi, <a href="/A198646/b198646.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 (4,-3).

%F a(n) = 3*a(n-1)+2, a(0)=10.

%F G.f.: (10-8*x) / ((3*x-1)*(x-1)). - _R. J. Mathar_, Oct 30 2011

%F a(n) = 4*a(n-1)-3*a(n-2). - _Wesley Ivan Hurt_, Oct 02 2021

%F a(n) = 2*A052909(n+1). - _R. J. Mathar_, Apr 07 2022

%t 11*3^Range[0, 30] - 1 (* _Wesley Ivan Hurt_, Oct 02 2021 *)

%o (Magma) [11*3^n-1: n in [0..30]]

%Y Cf. A027107, A048473, A171498.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 28 2011

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)