A029385 - OEIS

%I #7 Jul 30 2015 23:15:24

%S 1,0,0,0,0,1,1,0,1,0,1,2,1,1,1,1,3,2,2,2,2,3,4,3,4,3,4,5,5,5,6,5,7,7,

%T 7,8,8,8,10,9,11,11,11,12,13,13,15,14,16,16,17,18,19,19,21,21,23,23,

%U 24,25,27,27,29,29,31,32,34

%N Expansion of 1/((1-x^5)(1-x^6)(1-x^8)(1-x^11)).

%H <a href="/index/Rec#order_30">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, -1, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, -1).

%F a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=0, a(5)=1, a(6)=1, a(7)=0, a(8)=1, a(9)=0, a(10)=1, a(11)=2, a(12)=1, a(13)=1, a(14)=1, a(15)=1, a(16)=3, a(17)=2, a(18)=2, a(19)=2, a(20)=2, a(21)=3, a(22)=4, a(23)=3, a(24)=4, a(25)=3, a(26)=4, a(27)=5, a(28)=5, a(29)=5, a(n)=a(n-5)+a(n-6)+a(n-8)-a(n-13)-a(n-14)-a(n-16)-a(n-17)+ a(n-22)+ a(n-24)+a(n-25)-a(n-30). - _Harvey P. Dale_, Oct 01 2013

%t CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^8)(1-x^11)),{x,0,70}],x] (* or *) LinearRecurrence[{0,0,0,0,1,1,0,1,0,0,0,0,-1,-1,0,-1,-1,0,0,0,0,1,0,1,1,0,0,0,0,-1},{1,0,0,0,0,1,1,0,1,0,1,2,1,1,1,1,3,2,2,2,2,3,4,3,4,3,4,5,5,5},70] (* _Harvey P. Dale_, Oct 01 2013 *)

%K nonn

%O 0,12

%A _N. J. A. Sloane_.