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A029268 Expansion of 1/((1-x^3)(1-x^4)(1-x^9)(1-x^12)). 1

%I #10 Mar 12 2020 07:33:37

%S 1,0,0,1,1,0,1,1,1,2,1,1,4,2,1,4,4,2,5,4,4,7,5,4,10,7,5,11,10,7,13,11,

%T 10,16,13,11,21,16,13,23,21,16,26,23,21,31,26,23,38,31,26,41,38,31,46,

%U 41,38,53,46,41,62,53,46,67

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^9)(1-x^12)).

%C Number of partitions of n into parts 3, 4, 9, and 12. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029268/b029268.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 1, 1, 0, 0, -1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^9) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^9)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,10

%A _N. J. A. Sloane_

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Last modified April 25 09:30 EDT 2024. Contains 371967 sequences. (Running on oeis4.)