%I #21 Sep 08 2022 08:44:43
%S 1,0,0,0,1,1,1,1,2,3,4,4,6,9,13,16,21,29,41,55,73,98,135,184,248,333,
%T 452,615,834,1126,1523,2065,2801,3792,5131,6948,9416,12756,17272,
%U 23386,31676,42909,58116,78701,106585
%N Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10).
%C Number of compositions (ordered partitions) of n into parts 4, 5, 6, 7, 8, 9 and 10. - _Ilya Gutkovskiy_, May 25 2017
%H Vincenzo Librandi, <a href="/A017832/b017832.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1,1,1,1,1,1,1).
%F a(n) = a(n-4) +a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) for n>9. - _Vincenzo Librandi_, Jun 27 2013
%t CoefficientList[Series[1 / (1 - Total[x^Range[4, 10]]), {x, 0, 50}], x] (* _Vincenzo Librandi_, Jun 27 2013 *)
%t LinearRecurrence[{0,0,0,1,1,1,1,1,1,1},{1,0,0,0,1,1,1,1,2,3},50] (* _Harvey P. Dale_, Jul 23 2021 *)
%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))); // _Vincenzo Librandi_, Jun 27 2013
%K nonn,easy
%O 0,9
%A _N. J. A. Sloane_.
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