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%I #14 Sep 30 2023 12:14:44
%S 1,1,1,2,2,2,3,3,3,4,5,5,6,7,7,8,9,9,10,11,12,13,14,15,16,17,18,19,20,
%T 21,23,24,25,27,28,29,31,32,33,35,37,38,40,42,43,45,47,48,50,52,54,56,
%U 58,60,62,64,66,68,70,72,75,77,79,82,84,86,89,91,93,96,99,101,104,107,109,112,115,117,120,123,126,129
%N Expansion of 1/((1-x)(1-x^3)(1-x^10)).
%C Number of partitions of n into parts 1, 3, and 10. - _Joerg Arndt_, May 05 2014
%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1).
%F a(n) = floor((3*n^2+42*n+196-40*cos(2*(n+1)*Pi/3))/180). - _Tani Akinari_, May 03 2014
%F a(n)= +a(n-1) +a(n-3) -a(n-4) +a(n-10) -a(n-11) -a(n-13) +a(n-14). - _R. J. Mathar_, Aug 21 2014
%o (PARI) Vec( 1/((1-x)*(1-x^3)*(1-x^10)) +O(x^66) ) \\ _Joerg Arndt_, May 05 2014
%K nonn
%O 0,4
%A _N. J. A. Sloane_, Dec 11 1999
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