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11*4^n-1
1

%I #16 Sep 08 2022 08:45:59

%S 10,43,175,703,2815,11263,45055,180223,720895,2883583,11534335,

%T 46137343,184549375,738197503,2952790015,11811160063,47244640255,

%U 188978561023,755914244095,3023656976383,12094627905535,48378511622143

%N 11*4^n-1

%H Vincenzo Librandi, <a href="/A198695/b198695.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4).

%F a(n) = 4*a(n-1)+3. a(n) = 5*a(n-1)-4*a(n-2), n>1.

%F G.f. ( 10-7*x ) / ( (4*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

%t 11*4^Range[0,30]-1 (* or *) NestList[4#+3&,10,30] (* or *) LinearRecurrence[ {5,-4},{10,43},30] (* _Harvey P. Dale_, Aug 07 2021 *)

%o (Magma) [11*4^n-1: n in [0..30]]

%Y Cf. A024056, A097743, A114569, A156760.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 29 2011