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a(n) = 11*8^n-1.
1

%I #19 Sep 08 2022 08:46:00

%S 10,87,703,5631,45055,360447,2883583,23068671,184549375,1476395007,

%T 11811160063,94489280511,755914244095,6047313952767,48378511622143,

%U 387028092977151,3096224743817215,24769797950537727,198158383604301823

%N a(n) = 11*8^n-1.

%H Vincenzo Librandi, <a href="/A198858/b198858.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 (9,-8).

%F a(n) = 8*a(n-1)+7. a(n) = 9*a(n-1)-8*a(n-2), n>1.

%F G.f.: ( 10-3*x ) / ( (8*x-1)*(x-1) ). - _R. J. Mathar_, Oct 31 2011

%p A198858:=n->11*8^n-1: seq(A198858(n), n=0..30); # _Wesley Ivan Hurt_, Jan 22 2017

%t 11*8^Range[0,20]-1 (* or *) LinearRecurrence[{9,-8},{10,87},20] (* _Harvey P. Dale_, May 19 2021 *)

%o (Magma) [11*8^n-1: n in [0..30]]

%o (PARI) a(n)=11*8^n-1 \\ _Charles R Greathouse IV_, Jan 23 2017

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 31 2011