A028118 - OEIS

%I #16 Jun 30 2026 20:26:13

%S 1,27,470,6750,87411,1065177,12504280,143383500,1619764421,

%T 18123947127,201553821690,2232652225050,24669249375031,

%U 272138102501877,2998983086992700,33027209966147400,363568827451799241

%N Expansion of 1/((1-4x)(1-5x)(1-7x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (27, -259, 1053, -1540).

%F a(0)=1, a(1)=27, a(2)=470, a(3)=6750, a(n)=27*a(n-1)- 259*a(n-2)+ 1053*a(n-3)- 1540*a(n-4). - _Harvey P. Dale_, Oct 20 2012

%F a(n)=(11^(n+3)-7^(n+4)+14*5^(n+3)-8*4^(n+3))/168. [_Yahia Kahloune_, Jun 11 2013]

%t CoefficientList[Series[1/((1-4x)(1-5x)(1-7x)(1-11x)),{x,0,30}],x] (* _Harvey P. Dale_, Oct 20 2012 *)

%t (* Alternative: *)

%t LinearRecurrence[{27,-259,1053,-1540},{1,27,470,6750},30] (* _Harvey P. Dale_, Oct 20 2012 *)

%K nonn,changed

%O 0,2

%A _N. J. A. Sloane_