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A155663 9^n+8^n-1. 11

%I #13 Jun 14 2016 09:29:49

%S 1,16,144,1240,10656,91816,793584,6880120,59823936,521638216,

%T 4560526224,39970994200,351149013216,3091621642216,27274838966064,

%U 241075504183480,2134495165562496,18928981513351816,168109033806481104

%N 9^n+8^n-1.

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (18,-89,72).

%F G.f.: 1/(1-9*x)+1/(1-8*x)-1/(1-x). E.g.f.: e^(9*x)+e^(8*x)-e^x.

%F a(n)=17*a(n-1)-72*a(n-2)-56 with a(0)=1, a(1)=16 - _Vincenzo Librandi_, Jul 21 2010

%t Table[9^n+8^n-1,{n,0,20}] (* or *) LinearRecurrence[{18,-89,72},{1,16,144},20] (* _Harvey P. Dale_, Jun 14 2016 *)

%o (PARI) a(n)=9^n+8^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 31 2009

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Last modified April 25 09:56 EDT 2024. Contains 371967 sequences. (Running on oeis4.)