A028147 - OEIS

%I #11 Jul 30 2015 22:54:36

%S 1,30,575,9000,125661,1633410,20245675,242827500,2845466921,

%T 32788860390,373244969175,4210842870000,47192731209781,

%U 526333705304970,5848962216923075,64823992266568500,717024715753610241

%N Expansion of 1/((1-4x)(1-7x)(1-8x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (30, -325, 1500, -2464).

%F a(n)=(11^(n+3)-7*8^(n+3)+7^(n+4)-4^(n+3))/84. [_Yahia Kahloune_, Jun 04 2013]

%F a(0)=1, a(1)=30, a(2)=575, a(3)=9000, a(n)=30*a(n-1)-325*a(n-2)+ 1500*a(n-3)- 2464*a(n-4). - _Harvey P. Dale_, Aug 11 2014

%t CoefficientList[Series[1/((1-4x)(1-7x)(1-8x)(1-11x)),{x,0,20}],x] (* or *) LinearRecurrence[{30,-325,1500,-2464},{1,30,575,9000},20] (* _Harvey P. Dale_, Aug 11 2014 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.