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Expansion of 1/((1-x^2)*(1-x^6)*(1-x^8)*(1-x^9)).
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%I #11 Mar 15 2020 22:11:24

%S 1,0,1,0,1,0,2,0,3,1,3,1,4,1,5,2,6,3,8,3,9,4,10,5,13,6,15,8,16,9,19,

%T 10,22,13,24,15,28,16,31,19,34,22,39,24,43,28,46,31,52,34,57,39,61,43,

%U 68,46,74,52,79,57,87,61,94

%N Expansion of 1/((1-x^2)*(1-x^6)*(1-x^8)*(1-x^9)).

%C Number of partitions of n into parts 2, 6, 8, and 9. - _Joerg Arndt_, Jun 02 2014

%H Vincenzo Librandi, <a href="/A029219/b029219.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,0,0,1,0,0,1,-1,-1,0,0,-1,-1,1,0,0,1,0,0,0,1,0,-1).

%t CoefficientList[Series[1/((1 - x^2) (1 - x^6) (1 - x^8) (1 - x^9)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)

%o (PARI) Vec(1/((1-x^2)*(1-x^6)*(1-x^8)*(1-x^9)) + O(x^80)) \\ _Jinyuan Wang_, Mar 15 2020

%K nonn,easy

%O 0,7

%A _N. J. A. Sloane_