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%I #17 May 17 2017 03:18:27
%S 1,1,1,2,2,2,3,3,4,5,5,7,8,8,10,11,12,14,15,17,19,20,23,25,27,30,32,
%T 35,38,40,44,47,50,55,58,62,67,70,75,80,84,90,95,100,107,112,118,125,
%U 131,138,145,152,160,167,175
%N Expansion of 1/((1-x)*(1-x^3)*(1-x^8)*(1-x^11)).
%C Number of partitions of n into parts 1, 3, 8 and 11. - _Ilya Gutkovskiy_, May 16 2017
%H G. C. Greubel, <a href="/A029056/b029056.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1,0,0,0,1,-1,0,0,0,0,-1,1,0,0,0,-1,1,0,1,-1).
%t CoefficientList[Series[1/((1 - x)*(1 - x^3)*(1 - x^8)*(1 - x^11)), {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2017 *)
%o (PARI) a(n)=floor((2*n^3+69*n^2+696*n+3312)/3168+[5,1,-1,4,-1,0,1,-4,1,-1,-5][n%11+1]/11) \\ _Tani Akinari_, May 13 2014
%o (PARI) Vec(1/((1-x)*(1-x^3)*(1-x^8)*(1-x^11)) + O(x^100)) \\ _Michel Marcus_, May 13 2014
%K nonn,easy
%O 0,4
%A _N. J. A. Sloane_, Dec 11 1999
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