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A029422 Expansion of 1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)). 1

%I #9 Sep 08 2022 08:44:50

%S 1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,1,3,2,1,1,1,2,4,3,2,1,2,3,5,4,3,3,

%T 3,5,7,5,4,4,5,6,9,7,6,6,7,9,11,9,8,8,9,11,14,12,11,11,12,14,17,15,14,

%U 14,15,17,21,19,18,18,19,21

%N Expansion of 1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)).

%H Vincenzo Librandi, <a href="/A029422/b029422.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, -2, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1).

%t CoefficientList[Series[1/((1-x^6)(1-x^7)(1-x^11)(1-x^12)),{x,0,80}],x] (* or *) LinearRecurrence[{0,0,0,0,0,1,1,0,0,0,1,1,-1,0,0,0,-1,-2,-1,0,0,0,-1,1,1,0,0,0,1,1,0,0,0,0,0,-1},{1,0,0,0,0,0,1,1,0,0,0,1,2,1,1,0,0,1,3,2,1,1,1,2,4,3,2,1,2,3,5,4,3,3,3,5},80] (* _Harvey P. Dale_, Mar 01 2017 *)

%o (Magma) m:=80; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x^6)*(1-x^7)*(1-x^11)*(1-x^12)))); // _Vincenzo Librandi_, Mar 28 2017

%K nonn

%O 0,13

%A _N. J. A. Sloane_.

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