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%I #18 Sep 08 2022 08:44:43
%S 1,0,0,0,1,1,1,1,2,3,4,5,7,9,13,18,25,33,45,62,86,117,159,217,298,408,
%T 558,762,1042,1425,1950,2667,3647,4986,6819,9327,12757,17445,23856,
%U 32625,44620,61023,83454,114129
%N Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).
%C Number of compositions (ordered partitions) of n into parts 4, 5, 6, 7, 8, 9, 10, 11 and 12. - _Ilya Gutkovskiy_, May 25 2017
%H Vincenzo Librandi, <a href="/A017834/b017834.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1,1,1,1,1,1,1,1,1).
%F a(n) = a(n-4) +a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) +a(n-11) +a(n-12) for n>11. - _Vincenzo Librandi_, Jun 27 2013
%t CoefficientList[Series[1 / (1 - Total[x^Range[4, 12]]), {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 27 2013 *)
%o (Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12))); // _Vincenzo Librandi_, Jun 27 2013
%K nonn,easy
%O 0,9
%A _N. J. A. Sloane_.
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