The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #24 Sep 08 2022 08:45:40
%S 1,9,51,279,1551,8799,50751,296319,1745151,10339839,61514751,
%T 366991359,2193559551,13127802879,78632599551,471258726399,
%U 2825404874751,16943839313919,101628676145151,609634617917439,3657257951690751
%N 6^n + 4^n - 1.
%H Vincenzo Librandi, <a href="/A155617/b155617.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (11,-34,24).
%F G.f.: 1/(1-6*x)+1/(1-4*x)-1/(1-x).
%F E.g.f.: exp(6*x) + exp(4*x) - exp(x).
%F a(n) = 10*a(n-1)-24*a(n-2) -15, n>1 - _Gary Detlefs_, Jun 21 2010
%F a(n) = 11*a(n-1)-34*a(n-2)+24*a(n-3). - _Vincenzo Librandi_, Feb 16 2013
%t Table[(6^n + 4^n - 1^n), {n, 0, 30}] (* _Vincenzo Librandi_, Feb 16 2013 *)
%t LinearRecurrence[{11,-34,24},{1,9,51},30] (* _Harvey P. Dale_, Mar 30 2019 *)
%o (Magma) [6^n+4^n-1: n in [0..20]]; /* or */ I:=[1,9,51]; [n le 3 select I[n] else 11*Self(n-1)-34*Self(n-2)+24*Self(n-3): n in [1..25]]; // _Vincenzo Librandi_, Feb 16 2013
%o (PARI) a(n)=6^n+4^n-1 \\ _Charles R Greathouse IV_, Oct 16 2015
%Y Cf. A155588, A155599, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614, A155615, A155616.
%K nonn,easy
%O 0,2
%A _Mohammad K. Azarian_, Jan 27 2009