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a(n) = 8*3^n+1.
3

%I #23 Sep 08 2022 08:46:00

%S 9,25,73,217,649,1945,5833,17497,52489,157465,472393,1417177,4251529,

%T 12754585,38263753,114791257,344373769,1033121305,3099363913,

%U 9298091737,27894275209,83682825625,251048476873,753145430617,2259436291849,6778308875545

%N a(n) = 8*3^n+1.

%H Vincenzo Librandi, <a href="/A199111/b199111.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 (4,-3).

%F a(n) = 3*a(n-1)-2.

%F a(n) = 4*a(n-1)-3*a(n-2).

%F G.f.: (9-11*x)/((1-x)*(1-3*x)). - _Bruno Berselli_, Nov 03 2011

%F a(n) = 1 + 8*A000244(n) = 1 + A005051(n). - _Omar E. Pol_, Nov 18 2011

%o (Magma) [8*3^n+1: n in [0..30]];

%Y Cf. A000244, A005051, A160173. - _Omar E. Pol_, Nov 18 2011

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 03 2011