A028171 - OEIS

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

%S 1,29,533,7945,105021,1285809,14944693,167428745,1826266541,

%T 19529198689,205738222053,2142884743545,22124707610461,

%U 226886218153169,2314414985326613,23511240805642345,238065299395424781

%N Expansion of 1/((1-5x)(1-6x)(1-8x)(1-10x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29, -308, 1420, -2400).

%F a(n)=(3*10^(n+3)-10*8^(n+3)+15*6^(n+3)-8*5^(n+3))/12 = (-2^(3*n+7)+2^n*3^(n+4)-5^(n+2)+3*2^n*5^(n+2))/3. [_Yahia Kahloune_, May 31 2013]

%t CoefficientList[Series[1/((1-5x)(1-6x)(1-8x)(1-10x)),{x,0,30}],x] (* or *) LinearRecurrence[{29,-308,1420,-2400},{1,29,533,7945},30] (* _Harvey P. Dale_, Dec 12 2014 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.