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A029223 Expansion of 1/((1-x^2)*(1-x^6)*(1-x^9)*(1-x^12)). 1

%I #11 Mar 15 2020 21:01:42

%S 1,0,1,0,1,0,2,0,2,1,2,1,4,1,4,2,4,2,7,2,7,4,7,4,11,4,11,7,11,7,16,7,

%T 16,11,16,11,23,11,23,16,23,16,31,16,31,23,31,23,41,23,41,31,41,31,53,

%U 31,53,41,53,41,67,41,67,53

%N Expansion of 1/((1-x^2)*(1-x^6)*(1-x^9)*(1-x^12)).

%C Number of partitions of n into parts 2, 6, 9, and 12. - _Joerg Arndt_, Jun 02 2014

%H Vincenzo Librandi, <a href="/A029223/b029223.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_29">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, 0, 0, 1, 0, -1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, 0, 1, 0, -1).

%t CoefficientList[Series[1/((1 - x^2) (1 - x^6) (1 - x^9) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)

%o (PARI) Vec(1/((1-x^2)*(1-x^6)*(1-x^9)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 15 2020

%K nonn,easy

%O 0,7

%A _N. J. A. Sloane_

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Last modified May 13 05:11 EDT 2024. Contains 372497 sequences. (Running on oeis4.)