A155631 - OEIS

%I #17 Aug 30 2017 18:01:12

%S 1,7,85,937,9745,98977,995905,9983617,99934465,999737857,9998951425,

%T 99995805697,999983222785,9999932891137,99999731564545,

%U 999998926258177,9999995705032705,99999982820130817,999999931280523265

%N 10^n-4^n+1^n

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (15,-54,40).

%F G.f.: 1/(1-10*x)-1/(1-4*x)+1/(1-x). E.g.f.: e^(10*x)-e^(4*x)+e^x.

%F a(n)=14*a(n-1)-40*a(n-2)+27 with a(0)=1, a(1)=7 - _Vincenzo Librandi_, Jul 21 2010

%t LinearRecurrence[{15,-54,40},{1,7,85},30] (* _Harvey P. Dale_, Aug 30 2017 *)

%o (PARI) a(n)=10^n-4^n+1 \\ _Charles R Greathouse IV_, Sep 24 2015

%Y Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626, A155627, A155628, A155629, A155630.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009