Is the generating function in http://oeis.org/A138164 correct? The Maple implementation vx := 2/sqrt(3)*sin(sin(x*3*sqrt(3)/2)/3) ; A138164 := proc(n) 1/(1-vx-vx^2) ; coeftayl(%,x=0,n) ; end proc: seq(%(n),n=0..13) ; generates fractions from the power(x^3) on.