A029207 - OEIS

%I #11 May 15 2021 20:18:03

%S 1,0,1,0,1,1,1,1,2,1,3,1,4,2,4,3,5,4,6,4,8,5,9,6,11,8,12,9,14,11,16,

%T 12,19,14,21,16,24,19,26,21,30,24,33,26,37,30,40,33,45,37,49,40,54,45,

%U 58,49,64,54,69,58,76,64,81,69

%N Expansion of 1/((1-x^2)(1-x^5)(1-x^8)(1-x^12)).

%H Vincenzo Librandi, <a href="/A029207/b029207.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,0,1,0,-1,1,0,-1,0,1,-1,-1,1,0,-1,0,1,-1,0,1,0,0,1,0,-1).

%t CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^8) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)

%t LinearRecurrence[{0,1,0,0,1,0,-1,1,0,-1,0,1,-1,-1,1,0,-1,0,1,-1,0,1,0,0,1,0,-1},{1,0,1,0,1,1,1,1,2,1,3,1,4,2,4,3,5,4,6,4,8,5,9,6,11,8,12},100] (* _Harvey P. Dale_, May 15 2021 *)

%o (PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^8)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 15 2020

%K nonn,easy

%O 0,9

%A _N. J. A. Sloane_