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A013984 Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7). 4

%I #25 Feb 07 2024 12:34:24

%S 1,0,1,1,2,3,5,8,12,20,31,50,79,126,200,318,506,804,1279,2033,3233,

%T 5140,8173,12995,20662,32853,52236,83056,132059,209975,333861,530841,

%U 844040,1342028,2133832,3392804,5394577

%N Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7).

%C Number of compositions of n into parts p where 2 <= p < = 7. [_Joerg Arndt_, Jun 24 2013]

%H Vincenzo Librandi, <a href="/A013984/b013984.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,1,1,1,1)

%t CoefficientList[Series[1 / (1 - x^2 - x^3 - x^4 - x^5 - x^6 - x^7), {x, 0, 40}], x] (* _Vincenzo Librandi_, Jun 23 2013 *)

%o (PARI) Vec(1/(1-x^2-x^3-x^4-x^5-x^6-x^7)+O(x^99)) \\ _Charles R Greathouse IV_, Sep 25 2012

%o (Magma) m:=40; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^2-x^3-x^4-x^5-x^6-x^7))); // _Vincenzo Librandi_, Jun 24 2013

%K nonn,easy

%O 0,5

%A _N. J. A. Sloane_.

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Last modified May 15 21:53 EDT 2024. Contains 372549 sequences. (Running on oeis4.)