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 A199417 (3*7^n+1)/2. 3

%I #13 Sep 08 2022 08:46:00

%S 2,11,74,515,3602,25211,176474,1235315,8647202,60530411,423712874,

%T 2965990115,20761930802,145333515611,1017334609274,7121342264915,

%U 49849395854402,348945770980811,2442620396865674,17098342778059715

%N (3*7^n+1)/2.

%H Vincenzo Librandi, <a href="/A199417/b199417.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)-3.

%F a(n) = 8*a(n-1)-7*a(n-2).

%F G.f.: (2-5*x)/((1-x)*(1-7*x)).

%t (3*7^Range[0,30]+1)/2 (* or *) LinearRecurrence[{8,-7},{2,11},30] (* _Harvey P. Dale_, Nov 20 2012 *)

%o (Magma) [(3*7^n+1)/2: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 06 2011

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Last modified December 5 04:31 EST 2023. Contains 367574 sequences. (Running on oeis4.)