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A028071 Expansion of 1/((1-3x)(1-5x)(1-10x)(1-11x)). 0

%I #12 Jul 30 2015 22:49:25

%S 1,29,548,8590,121551,1615119,20584858,254810960,3087662501,

%T 36816560209,433529214768,5054413691730,58455083456251,

%U 671574295857299,7673016284430278,87260245701154900,988433749842078801

%N Expansion of 1/((1-3x)(1-5x)(1-10x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29, -293, 1195, -1650).

%F a(0)=1, a(1)=29, a(2)=548, a(3)=8590, a(n)=29*a(n-1)-293*a(n-2)+ 1195*a(n-3)- 1650*a(n-4). - _Harvey P. Dale_, Apr 06 2013

%F a(n)=(35*11^(n+3)-48*10^(n+3)+28*5^(n+3)-15*3^(n+3))/1680. [_Yahia Kahloune_, Jun 10 2013]

%t CoefficientList[Series[1/((1-3x)(1-5x)(1-10x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{29,-293,1195,-1650},{1,29,548,8590},30] (* _Harvey P. Dale_, Apr 06 2013 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)