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A198647 3*7^n-1 8

%I #22 Sep 08 2022 08:45:59

%S 2,20,146,1028,7202,50420,352946,2470628,17294402,121060820,847425746,

%T 5931980228,41523861602,290667031220,2034669218546,14242684529828,

%U 99698791708802,697891541961620,4885240793731346,34196685556119428

%N 3*7^n-1

%H Vincenzo Librandi, <a href="/A198647/b198647.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 (8,-7).

%F a(n) = 7*a(n-1)+6, a(0)=2.

%F G.f.: ( 2+4*x ) / ( (7*x-1)*(x-1) ). - _R. J. Mathar_, Oct 30 2011

%F a(n) = 8*a(n-1) - 7*a(n-2). - _Harvey P. Dale_, Jan 27 2012

%t 3*7^Range[0,20]-1 (* or *) LinearRecurrence[{8,-7},{2,20},20] (* _Harvey P. Dale_, Jan 27 2012 *)

%o (Magma) [3*7^n-1: n in [0..30]]

%o (PARI) a(n)=3*7^n-1 \\ _Charles R Greathouse IV_, Nov 21 2011

%K nonn,easy,less

%O 0,1

%A _Vincenzo Librandi_, Oct 28 2011

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)