%I #13 Sep 08 2022 08:46:00
%S 2,13,90,629,4402,30813,215690,1509829,10568802,73981613,517871290,
%T 3625099029,25375693202,177629852413,1243408966890,8703862768229,
%U 60927039377602,426489275643213,2985424929502490,20897974506517429
%N (11*7^n+1)/6.
%H Vincenzo Librandi, <a href="/A199489/b199489.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)-1.
%F a(n) = 8*a(n-1)-7*a(n-2).
%F G.f.: (2-3*x)/((1-x)*(1-7*x)).
%t (11*7^Range[0,20]+1)/6 (* or *) LinearRecurrence[{8,-7},{2,13},20] (* _Harvey P. Dale_, May 05 2019 *)
%o (Magma) [(11*7^n+1)/6: n in [0..30]];
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Nov 07 2011
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