login
Expansion of 1/((1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)).
0

%I #11 Feb 28 2020 08:18:02

%S 1,0,0,0,0,0,1,1,1,1,0,0,1,1,2,2,2,1,2,1,2,3,3,3,4,3,3,4,4,4,6,5,6,6,

%T 6,6,8,7,8,9,9,9,11,10,11,12,12,12,15,14,15,16,16,16,19,18,20,21,21,

%U 21,24,23,25,27,27,27,30,29,31,33,34,34,38,36,38,40

%N Expansion of 1/((1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)).

%H <a href="/index/Rec#order_30">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1,1,1,1,0,0,0,-1,-1,-2,-1,-1,0,0,0,1,1,1,1,0,0,0,0,0,-1).

%t CoefficientList[Series[1/((1-x^6)(1-x^7)(1-x^8)(1-x^9)),{x,0,100}],x] (* or *) LinearRecurrence[{0,0,0,0,0,1,1,1,1,0,0,0,-1,-1,-2,-1,-1,0,0,0,1,1,1,1,0,0,0,0,0,-1},{1,0,0,0,0,0,1,1,1,1,0,0,1,1,2,2,2,1,2,1,2,3,3,3,4,3,3,4,4,4},100] (* _Harvey P. Dale_, Jul 22 2018 *)

%o (PARI) Vec(1/((1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)) + O(x^80)) \\ _Jinyuan Wang_, Feb 28 2020

%K nonn

%O 0,15

%A _N. J. A. Sloane_