A029043 - OEIS

%I #18 Mar 09 2019 12:27:20

%S 1,1,1,2,2,3,4,4,5,6,7,9,10,11,13,15,17,19,21,23,26,29,32,35,38,42,46,

%T 50,54,58,63,68,73,79,84,90,97,103,110,117,124,132,140,148,157,166,

%U 175,185,195,205,216,227,238,250

%N Expansion of 1/((1-x)(1-x^3)(1-x^5)(1-x^11)).

%C Number of partitions of n into parts 1, 3, 5 and 11. - _Ilya Gutkovskiy_, May 14 2017

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1,1,-1,0,-1,1,0,1,-1,0,-1,1,-1,1,0,1,-1).

%F a(n) = floor((n^3+30*n^2+371*n+1188-330*floor((n+2)/3))/990). - _Tani Akinari_, Jun 28 2013

%t CoefficientList[Series[1/((1-x)(1-x^3)(1-x^5)(1-x^11)),{x,0,60}],x] (* or *) LinearRecurrence[{1,0,1,-1,1,-1,0,-1,1,0,1,-1,0,-1,1,-1,1,0,1,-1},{1,1,1,2,2,3,4,4,5,6,7,9,10,11,13,15,17,19,21,23},60] (* _Harvey P. Dale_, Mar 09 2019 *)

%o (PARI) a(n)=(n^3+30*n^2+371*n+1188-(n+2)\3*330)\990

%K nonn,easy

%O 0,4

%A _N. J. A. Sloane_.