%I #16 Feb 21 2024 16:42:12
%S 1,0,0,1,0,1,1,0,2,1,1,3,1,2,3,2,4,3,3,5,4,5,6,5,7,7,7,9,8,9,11,10,12,
%T 13,12,15,15,15,18,17,19,21,20,23,24,24,27,27,29,31,31,34,35,36,39,40,
%U 42,44,45,48,50,51,54,56
%N Expansion of 1/((1-x^3)(1-x^5)(1-x^8)(1-x^11)).
%C Number of partitions of n into parts 3, 5, 8, and 11. - _Vincenzo Librandi_, Jun 04 2014
%H Vincenzo Librandi, <a href="/A029284/b029284.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 (0,0,1,0,1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,1,0,0,-1).
%t CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^8) (1 - x^11)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 04 2014 *)
%t LinearRecurrence[{0,0,1,0,1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,1,0,0,-1},{1,0,0,1,0,1,1,0,2,1,1,3,1,2,3,2,4,3,3,5,4,5,6,5,7,7,7},100] (* _Harvey P. Dale_, Feb 21 2024 *)
%o (PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^8)*(1-x^11)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020
%K nonn,easy
%O 0,9
%A _N. J. A. Sloane_