A029258 - OEIS

%I #10 Mar 12 2020 22:49:42

%S 1,0,0,1,1,0,1,2,1,2,2,2,3,3,3,4,5,4,6,6,6,8,8,8,10,11,10,13,14,13,16,

%T 17,17,19,21,21,24,25,25,29,30,30,34,36,36,40,42,42,47,49,49,54,57,57,

%U 62,65,66,71,74,75,81,84

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^7)(1-x^9)).

%C Number of partitions of n into parts 3, 4, 7, and 9. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029258/b029258.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,1,0,0,0,0,1,-1,-1,-1,-1,1,0,0,0,0,1,1,0,0,-1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^7) (1 - x^9)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^7)*(1-x^9)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,8

%A _N. J. A. Sloane_