%I #15 Oct 24 2014 18:05:34
%S 1,2,3,4,6,9,15,21,36,49,84,115,199,272,471,643,1113,1521,2634,3598,
%T 6231,8512,14743,20139,34881,47649,82530,112738,195267,266740,462007,
%U 631113,1093119,1493229,2586348,3533017,6119364,8359207,14478571
%N First row of spectral array W(sqrt(3)).
%H A. Fraenkel and C. Kimberling, <a href="http://dx.doi.org/10.1016/0012-365X(94)90259-3">Generalized Wythoff arrays, shuffles and interspersions</a>, Discrete Mathematics 126 (1994) 137-149.
%o (PARI)
%o \\ The first row of the generalized Wythoff array W(h),
%o \\ where h is an irrational number between 1 and 2.
%o row1(h, m) = {
%o my(
%o a=vector(m, n, floor(n*h)),
%o b=setminus(vector(m, n, n), a),
%o w=[a[1]^2, b[a[1]]],
%o j=3
%o );
%o while(1,
%o if(j%2==1,
%o if(w[j-1]<=#a, w=concat(w, a[w[j-1]]), return(w))
%o ,
%o if(w[j-2]<=#b, w=concat(w, b[w[j-2]]), return(w))
%o );
%o j++
%o );
%o w
%o }
%o allocatemem(10^9)
%o row1(sqrt(3), 10^7) \\ _Colin Barker_, Oct 24 2014
%K nonn
%O 0,2
%A _Clark Kimberling_
%E More terms from _Colin Barker_, Oct 24 2014