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A045993 Expansion of (1-x)/(1 - 10*x + 18*x^2 - 8*x^3). 0

%I #12 Mar 08 2020 04:15:00

%S 1,9,72,566,4436,34748,272160,2131624,16695344,130761488,1024151680,

%T 8021372768,62825089344,492059397056,3853913344512,30184665012864,

%U 236412685103872,1851634187563264,14502390863865856,113585794743350784

%N Expansion of (1-x)/(1 - 10*x + 18*x^2 - 8*x^3).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-18,8).

%F a(n) = 10*a(n-1) - 18*a(n-2) + 8*a(n-3); a(0)=1, a(1)=9, a(2)=72. - _Harvey P. Dale_, Mar 12 2013

%t CoefficientList[Series[(1-x)/(1-10x+18x^2-8x^3),{x,0,30}],x] (* or *) LinearRecurrence[{10,-18,8},{1,9,72},30] (* _Harvey P. Dale_, Mar 12 2013 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 23 12:08 EDT 2024. Contains 371912 sequences. (Running on oeis4.)