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A017843 Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12). 1

%I #12 May 26 2017 05:17:14

%S 1,0,0,0,0,1,1,1,1,1,2,3,4,4,5,7,10,14,17,21,27,36,49,64,82,105,137,

%T 181,238,310,401,521,681,892,1166,1518,1975,2574,3361,4390,5727,7464,

%U 9728,12688,16557,21603,28175

%N Expansion of 1/(1-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 5, 6, 7, 8, 9, 10, 11 and 12. - _Ilya Gutkovskiy_, May 25 2017

%H Harvey P. Dale, <a href="/A017843/b017843.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 (0,0,0,0,1,1,1,1,1,1,1,1).

%t With[{fx=1/(1-Total[x^Range[5,12]])},CoefficientList[Series[fx,{x,0,50}],x]] (* _Harvey P. Dale_, May 26 2012 *)

%o (PARI) Vec(1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12)+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_.

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)