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Expansion of 1/((1-x)(1-x^5)(1-x^7)(1-x^9)).
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%I #8 May 20 2017 07:15:42

%S 1,1,1,1,1,2,2,3,3,4,5,5,6,6,8,9,10,11,12,14,15,17,18,20,22,24,26,28,

%T 31,33,36,38,41,44,47,51,54,58,61,65,69,73,78,82,87,92,97,102,107,113,

%U 119,125,131,137,144,151,158

%N Expansion of 1/((1-x)(1-x^5)(1-x^7)(1-x^9)).

%C Number of partitions of n into parts 1, 5, 7 and 9. - _Ilya Gutkovskiy_, May 20 2017

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,1,-1,1,-1,1,-1,0,-1,1,-1,1,-1,1,0,0,0,1,-1).

%t CoefficientList[Series[1/((1-x)(1-x^5)(1-x^7)(1-x^9)),{x,0,60}],x] (* _Harvey P. Dale_, Oct 07 2012 *)

%K nonn

%O 0,6

%A _N. J. A. Sloane_.