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Expansion of 1/((1-x)(1-x^4)(1-x^9)(1-x^10)).
1

%I #10 Aug 10 2019 13:28:32

%S 1,1,1,1,2,2,2,2,3,4,5,5,6,7,8,8,9,10,12,13,15,16,18,19,21,22,24,26,

%T 29,31,34,36,39,41,44,46,50,53,57,60,65,68,72,75,80,84,89,93,99,104,

%U 110,114,120,125,132,137,144,150

%N Expansion of 1/((1-x)(1-x^4)(1-x^9)(1-x^10)).

%C Number of partitions of n into parts 1, 4, 9 and 10. - _Ilya Gutkovskiy_, May 19 2017

%H Harvey P. Dale, <a href="/A029080/b029080.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,-1,0,0,0,1,0,-1,0,-1,0,1,0,0,0,-1,1,0,0,1,-1).

%t CoefficientList[Series[1/((1-x)(1-x^4)(1-x^9)(1-x^10)),{x,0,80}],x] (* or *) LinearRecurrence[{1,0,0,1,-1,0,0,0,1,0,-1,0,-1,0,1,0,0,0,-1,1,0,0,1,-1},{1,1,1,1,2,2,2,2,3,4,5,5,6,7,8,8,9,10,12,13,15,16,18,19},80] (* _Harvey P. Dale_, Aug 10 2019 *)

%K nonn

%O 0,5

%A _N. J. A. Sloane_.