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Expansion of 1/((1-x^3)(1-x^4)(1-x^5)(1-x^7)).
1

%I #9 Mar 12 2020 22:19:12

%S 1,0,0,1,1,1,1,2,2,2,3,3,4,4,5,6,6,7,8,9,10,11,12,13,15,16,17,19,21,

%T 22,24,26,28,30,32,35,37,39,42,45,48,50,54,57,60,64,67,71,75,79,83,87,

%U 92,96,101,106,111,116,121,127

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^5)(1-x^7)).

%C Number of partitions of n into parts 3, 4, 5, and 7. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029245/b029245.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,1,1,0,0,-1,-1,-1,-1,0,0,1,1,1,0,0,-1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^5) (1 - x^7)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^7)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,8

%A _N. J. A. Sloane_