A029061 - OEIS

%I #8 May 17 2017 03:18:52

%S 1,1,1,2,2,2,3,3,3,4,5,5,7,8,8,10,11,11,13,14,15,17,19,20,23,25,26,29,

%T 31,32,36,38,40,44,47,49,54,57,59,64,68,70,76,80,83,89,94,97,104,109,

%U 113,120,126,130,138,144,149

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

%C Number of partitions of n into parts 1, 3, 10 and 12. - _Ilya Gutkovskiy_, May 16 2017

%H G. C. Greubel, <a href="/A029061/b029061.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 (1,0,1,-1,0,0,0,0,0,1,-1,1,-2,1,-1,1,0,0,0,0,0,-1,1,0,1,-1).

%t CoefficientList[Series[1/((1 - x)*(1 - x^3)*(1 - x^10)*(1 - x^12)), {x, 0, 50}], x] (* _G. C. Greubel_, May 17 2017 *)

%o (PARI) x='x+O('x^50); Vec(1/((1 - x)*(1 - x^3)*(1 - x^10)*(1 - x^12))) \\ _G. C. Greubel_, May 17 2017

%K nonn

%O 0,4

%A _N. J. A. Sloane_