A028093 - OEIS

%I #11 Jul 30 2015 22:51:17

%S 1,29,540,8230,111911,1414839,17015290,197394560,2229204021,

%T 24659970049,268405356440,2883764656890,30659268255331,

%U 323156832303659,3381832557579990,35179011908571220,364094453676865841

%N Expansion of 1/((1-3x)(1-7x)(1-9x)(1-10x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29, -301, 1299, -1890).

%F a(0)=1, a(1)=29, a(2)=540, a(3)=8230, a(n)=29*a(n-1)-301*a(n-2)+ 1299*a(n-3)-1890*a(n-4). [_Harvey P. Dale_, Sep 02 2011]

%F a(n)=(8*10^(n+3)-14*9^(n+3)+7^(n+4)-3^(n+3))/168. [_Yahia Kahloune_, May 30 2013]

%t CoefficientList[Series[1/((1-3x)(1-7x)(1-9x)(1-10x)),{x,0,30}],x] (* or *) LinearRecurrence[{29,-301,1299,-1890},{1,29,540,8230},30] (* _Harvey P. Dale_, Sep 02 2011 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.