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A029261 Expansion of 1/((1-x^3)(1-x^4)(1-x^7)(1-x^12)). 1

%I #10 Mar 12 2020 07:34:29

%S 1,0,0,1,1,0,1,2,1,1,2,2,3,2,3,4,4,3,5,6,5,6,7,7,9,8,9,11,12,10,13,15,

%T 14,15,17,18,20,19,21,24,25,23,28,30,29,31,34,35,38,38,40,44,46,44,50,

%U 53,53,55,59,61,65,65,68

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^7)(1-x^12)).

%C Number of partitions of n into parts 3, 4, 7, and 12. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029261/b029261.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_26">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,1,0,0,0,0,0,-1,-1,1,0,1,-1,-1,0,0,0,0,0,1,1,0,0,-1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^7) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^7)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,8

%A _N. J. A. Sloane_

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