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A028081 Expansion of 1/((1-3x)(1-6x)(1-8x)(1-11x)). 0

%I #11 Jun 13 2015 00:49:08

%S 1,28,507,7574,101801,1283016,15511399,182368858,2103357861,

%T 23935475564,269799417251,3020592495102,33653261722081,

%U 373625952944272,4137562797943263,45735549657446306,504875559449240861

%N Expansion of 1/((1-3x)(1-6x)(1-8x)(1-11x)).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (28,-277,1134,-1584).

%F a(0)=1, a(1)=28, a(2)=507, a(3)=7574, a(n)=28*a(n-1)-277*a(n-2)+ 1134*a(n-3)- 1584*a(n-4). - _Harvey P. Dale_, Jan 04 2013

%F a(n)=(11^(n+3)-4*8^(n+3)+4*6^(n+3)-3^(n+3))/120. [_Yahia Kahloune_, May 31 2013]

%t CoefficientList[Series[1/((1-3x)(1-6x)(1-8x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{28,-277,1134,-1584},{1,28,507,7574},30] (* _Harvey P. Dale_, Jan 04 2013 *)

%o (PARI) Vec(1/(1-3*x)/(1-6*x)/(1-8*x)/(1-11*x)+O(x^99)) \\ _Charles R Greathouse IV_, May 31 2013

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)