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%I #9 May 21 2017 07:16:29
%S 1,1,1,1,1,2,2,3,3,3,5,5,6,6,7,9,9,11,11,12,15,16,18,18,20,23,24,27,
%T 28,30,34,36,39,40,43,48,50,54,56,59,65,68,73,75,79,86,89,95,98,103,
%U 111,115,122,125,131,140,145,153
%N Expansion of 1/((1-x)(1-x^5)(1-x^7)(1-x^10)).
%C Number of partitions of n into parts 1, 5, 7 and 10. - _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, 1, -1, 0, 1, -1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 0, 1, -1).
%t CoefficientList[Series[1/((1-x)(1-x^5)(1-x^7)(1-x^10)),{x,0,60}],x] (* or *) LinearRecurrence[{1,0,0,0,1,-1,1,-1,0,1,-1,-1,1,0,-1,1,-1,1,0,0,0,1,-1},{1,1,1,1,1,2,2,3,3,3,5,5,6,6,7,9,9,11,11,12,15,16,18},60] (* _Harvey P. Dale_, Jan 02 2017 *)
%K nonn
%O 0,6
%A _N. J. A. Sloane_.