A155625 - OEIS

%I #20 Jul 30 2024 06:01:03

%S 1,14,136,1394,14896,162074,1775656,19503554,214424416,2358209834,

%T 25938473176,285315864914,3138445153936,34522779252794,

%U 379750102018696,4177249243157474,45949734158539456,505447045679162954,5559917382211708216,61159090723292453234,672749996032071636976

%N a(n) = 11^n + 4^n - 1.

%H Paolo Xausa, <a href="/A155625/b155625.txt">Table of n, a(n) for n = 0..950</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (16,-59,44).

%F G.f.: 1/(1-11*x)+1/(1-4*x)-1/(1-x).

%F E.g.f.: exp(11*x)+exp(4*x)-exp(x).

%F a(n) = 15*a(n-1)-44*a(n-2)-30 with a(0) = 1, a(1) = 14. - _Vincenzo Librandi_, Jul 21 2010

%t Table[11^n + 4^n - 1, {n, 0, 25}] (* _Paolo Xausa_, Jul 30 2024 *)

%o (PARI) a(n)=11^n+4^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155588, A155589, A155590, A155592, A155593, A155594, A155595, A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 29 2009