A029248 - OEIS

%I #12 May 08 2024 05:14:53

%S 1,0,0,1,1,1,1,1,2,2,3,2,3,4,4,5,5,5,7,7,9,8,9,11,12,13,13,14,17,17,

%T 20,19,21,24,25,27,28,29,33,34,38,37,40,44,46,49,50,52,58,59,64,64,68,

%U 73,76,80,82,85,92,94,101,101

%N Expansion of 1/((1-x^3)(1-x^4)(1-x^5)(1-x^10)).

%C Number of partitions of n into parts 3, 4, 5, and 10. - _Vincenzo Librandi_, Jun 03 2014

%H Vincenzo Librandi, <a href="/A029248/b029248.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,1,1,0,-1,-1,-1,1,0,1,-1,-1,-1,0,1,1,1,0,0,-1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^5) (1 - x^10)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 03 2014 *)

%t LinearRecurrence[{0,0,1,1,1,0,-1,-1,-1,1,0,1,-1,-1,-1,0,1,1,1,0,0,-1},{1,0,0,1,1,1,1,1,2,2,3,2,3,4,4,5,5,5,7,7,9,8},100] (* _Harvey P. Dale_, May 08 2024 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^10)) + O(x^80)) \\ _Jinyuan Wang_, Mar 12 2020

%K nonn,easy

%O 0,9

%A _N. J. A. Sloane_