A028086 - OEIS

%I #17 Jun 30 2026 20:25:17

%S 1,30,583,9348,134689,1815498,23402251,292300176,3567408757,

%T 42782700246,506142615199,5923623309084,68724754852105,

%U 791647407688674,9065029251275827,103285339786658472,1171844560056255133

%N Expansion of 1/((1-3x)(1-6x)(1-10x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (30, -317, 1368, -1980).

%F a(n)=(21*11^(n+3)-3*10^(n+4)+14*6^(n+3)-5*3^(n+3))/840. [_Yahia Kahloune_, May 31 2013]

%F a(0)=1, a(1)=30, a(2)=583, a(3)=9348, a(n)=30*a(n-1)-317*a(n-2)+ 1368*a(n-3)- 1980*a(n-4). - _Harvey P. Dale_, Jun 18 2014

%t CoefficientList[Series[1/((1-3x)(1-6x)(1-10x)(1-11x)),{x,0,30}],x] (* _Harvey P. Dale_, Jun 18 2014 *)

%t (* Alternative: *)

%t LinearRecurrence[{30,-317,1368,-1980},{1,30,583,9348},30] (* _Harvey P. Dale_, Jun 18 2014 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_