|
%I #11 Jul 30 2015 22:24:04
%S 1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,2,0,1,1,1,1,1,2,0,2,1,1,2,
%T 1,2,2,2,1,2,2,1,3,2,2,3,2,2,3,3,2,3,3,2,4,3,3,4,3,3,4,4,3,5,4,3,5,4,
%U 4,5,5,4,6,5,4,6,5,5,6,6
%N Expansion of 1/((1-x^7)(1-x^9)(1-x^12)).
%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1).
%F a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=0, a(5)=0, a(6)=0, a(7)=1, a(8)=0, a(9)=1, a(10)=0, a(11)=0, a(12)=1, a(13)=0, a(14)=1, a(15)=0, a(16)=1, a(17)=0, a(18)=1, a(19)=1, a(20)=0, a(21)=2, a(22)=0, a(23)=1, a(24)=1, a(25)=1, a(26)=1, a(27)=1, a(n)=a(n-7)+a(n-9)+a(n-12)-a(n-16)-a(n-19)-a(n-21)+a(n-28). - _Harvey P. Dale_, Dec 19 2012
%t CoefficientList[ Series[1/((1-x^7)(1-x^9)(1-x^12)),{x,0,120}],x] (* or *)
%t LinearRecurrence[ {0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,-1,0,0,-1,0,-1, 0,0,0,0,0,0,1},{1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,1,0,2,0, 1,1,1,1,1},121] (* _Harvey P. Dale_, Dec 19 2012 *)
%K nonn
%O 0,22
%A _N. J. A. Sloane_.
|
