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%I #9 May 21 2017 07:27:31
%S 1,1,1,1,1,2,2,2,3,4,5,5,5,6,7,8,9,10,12,13,14,15,16,18,20,22,24,26,
%T 28,30,32,34,37,40,43,46,49,52,55,58,62,66,70,74,78,83,87,91,96,101,
%U 107,112,117,123,129,135,141,147
%N Expansion of 1/((1-x)(1-x^5)(1-x^8)(1-x^9)).
%C Number of partitions of n into parts 1, 5, 8 and 9. - _Ilya Gutkovskiy_, May 21 2017
%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, -1, 1, 0, 0, 0, 1, -1).
%t CoefficientList[Series[1/((1-x)(1-x^5)(1-x^8)(1-x^9)),{x,0,60}],x] (* or *) LinearRecurrence[{1,0,0,0,1,-1,0,1,0,-1,0,0,-1,0,1,0,-1,1,0,0,0,1,-1},{1,1,1,1,1,2,2,2,3,4,5,5,5,6,7,8,9,10,12,13,14,15,16},60] (* _Harvey P. Dale_, Apr 15 2016 *)
%K nonn
%O 0,6
%A _N. J. A. Sloane_.
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