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A029270 Expansion of 1/((1-x^3)(1-x^4)(1-x^10)(1-x^12)). 1

%I #9 Mar 12 2020 07:33:22

%S 1,0,0,1,1,0,1,1,1,1,2,1,3,2,2,3,4,2,4,4,5,4,6,5,8,6,7,8,10,7,11,10,

%T 12,11,14,12,17,14,16,17,21,16,22,21,24,22,27,24,31,27,31,31,37,31,39,

%U 37,42,39,46,42,52,46,52,52

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^10)(1-x^12)).

%C Number of partitions of n into parts 3, 4, 10, and 12. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029270/b029270.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, 0, 1, 1, 0, 0, -1, 0, 0, 1, 0, 1, -1, -1, -1, -1, 1, 0, 1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^10) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^10)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)