login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Expansion of 1/((1-x^3)(1-x^4)(1-x^10)(1-x^11)).
1

%I #9 Mar 12 2020 07:33:29

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

%T 13,14,14,16,16,17,18,20,20,22,23,25,25,27,28,30,30,33,34,36,37,40,41,

%U 43,44,47,48,51,52,55,57

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^10)(1-x^11)).

%C Number of partitions of n into parts 3, 4, 10, and 11. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029269/b029269.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, 0, 1, 1, 0, -1, -2, -1, 0, 1, 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^11)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^10)*(1-x^11)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_