A198771 - OEIS

%I #16 Mar 30 2024 11:12:09

%S 5,27,137,687,3437,17187,85937,429687,2148437,10742187,53710937,

%T 268554687,1342773437,6713867187,33569335937,167846679687,

%U 839233398437,4196166992187,20980834960937,104904174804687,524520874023437,2622604370117187

%N (11*5^n-1)/2.

%H Vincenzo Librandi, <a href="/A198771/b198771.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 (6,-5).

%F a(n) = 5*a(n-1)+2. a(n) = 6*a(n-1)-5*a(n-2), n>1.

%F G.f. ( 5-3*x ) / ( (5*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

%t (11*5^Range[0,30]-1)/2 (* or *) LinearRecurrence[{6,-5},{5,27},30] (* _Harvey P. Dale_, Mar 30 2024 *)

%o (Magma) [(11*5^n-1)/2: n in [0..30]]

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 30 2011