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a(n) = 6^n + 5.
2

%I #39 Feb 06 2024 11:59:42

%S 6,11,41,221,1301,7781,46661,279941,1679621,10077701,60466181,

%T 362797061,2176782341,13060694021,78364164101,470184984581,

%U 2821109907461,16926659444741,101559956668421,609359740010501,3656158440062981,21936950640377861,131621703842267141

%N a(n) = 6^n + 5.

%C Subsequence of A226814.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7,-6).

%F G.f.: (6 - 31*x) / ((1 - x)*(1 - 6*x)).

%F a(n) = 7*a(n-1) - 6*a(n-2) for n>1.

%t Table[6^n + 5, {n, 0, 30}]

%o (Magma) [6^n+5: n in [0..30]];

%Y Cf. similar sequences listed in A253208.

%Y Cf. A164784, A226814.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Dec 29 2014