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 A017844 Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13). 1

%I

%S 1,0,0,0,0,1,1,1,1,1,2,3,4,5,5,7,10,14,19,23,29,38,51,69,90,116,150,

%T 196,260,343,449,585,762,999,1313,1724,2258,2951,3860,5057,6631,8693,

%U 11384,14901,19509,25555,33486

%N Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).

%C Number of compositions of n into parts p where 5 <= p <= 13. [_Joerg Arndt_, Jun 27 2013]

%H Vincenzo Librandi, <a href="/A017844/b017844.txt">Table of n, a(n) for n = 0..1000</a>

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

%F a(n) = a(n-5) +a(n-6) +a(n-7) +a(n-8) +a(n-9) +a(n-10) +a(n-11) +a(n-12) +a(n-13) for n>12. - _Vincenzo Librandi_, Jun 27 2013

%t CoefficientList[Series[1 / (1 - Total[x^Range[5, 13]]), {x, 0, 60}], x] (* _Vincenzo Librandi_, Jun 27 2013 *)

%o (MAGMA) m:=60; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13))); /* or */ m:=60; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13))); // _Vincenzo Librandi_, Jun 27 2013

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_.

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Last modified July 18 07:10 EDT 2019. Contains 325134 sequences. (Running on oeis4.)