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A029293 Expansion of 1/((1-x^3)(1-x^6)(1-x^7)(1-x^9)). 1

%I #14 Mar 11 2020 23:14:43

%S 1,0,0,1,0,0,2,1,0,3,1,0,4,2,1,5,3,1,7,4,2,9,5,3,11,7,4,14,9,5,17,11,

%T 7,20,14,9,24,17,11,28,20,14,33,24,17,38,28,20,44,33,24,50,38,28,57,

%U 44,33,64,50,38,72,57,44,81,64

%N Expansion of 1/((1-x^3)(1-x^6)(1-x^7)(1-x^9)).

%C Number of partitions of n into parts 3, 6, 7, and 9. - _Joerg Arndt_, Jul 22 2014

%H Vincenzo Librandi, <a href="/A029293/b029293.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,0,0,1,1,0,0,-1,0,-1,-1,0,-1,0,0,1,1,0,0,1,0,0,-1).

%t CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^7)(1-x^9)),{x,0,80}],x] (* _Harvey P. Dale_, Jul 21 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^6)*(1-x^7)*(1-x^9)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020

%K nonn,easy

%O 0,7

%A _N. J. A. Sloane_

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)