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%I #13 May 26 2017 03:13:43
%S 1,1,1,1,1,2,3,3,3,4,5,6,7,7,8,10,11,12,14,15,17,19,20,22,25,27,29,32,
%T 34,37,41,43,46,50,53,57,62,65,69,74,78,83,89,93,98,105,110,116,123,
%U 128,135,143,149,156,165,172
%N Expansion of 1/((1-x)*(1-x^5)*(1-x^6)*(1-x^9)).
%C Number of partitions of n into parts 1, 5, 6 and 9. - _Ilya Gutkovskiy_, May 20 2017
%H Vincenzo Librandi, <a href="/A029087/b029087.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_21">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 1, 0, -1, 0, 1, -1, -1, 1, 0, -1, 0, 1, 0, 0, 0, 1, -1).
%F G.f.: 1/((1 - x)*(1 - x^5)*(1 - x^6)*(1 - x^9)).
%t CoefficientList[Series[1/((1-x)(1-x^5)(1-x^6)(1-x^9)),{x,0,100}],x] (* or *) LinearRecurrence[{1,0,0,0,1,0,-1,0,1,-1,-1,1,0,-1,0,1,0,0,0,1,-1},{1,1,1,1,1,2,3,3,3,4,5,6,7,7,8,10,11,12,14,15,17},100] (* _Harvey P. Dale_, Sep 27 2016 *)
%K nonn,easy
%O 0,6
%A _N. J. A. Sloane_.
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