%I #7 Nov 16 2014 07:01:54
%S 1,2,3,4,7,9,16,20,35,45,80,102,181,232,413,529,942,1206,2147,2750,
%T 4897,6270,11167,14297,25463,32601,58064,74339,132403,169514,301916,
%U 386541,688457,881425,1569881,2009905,3579786,4583168,8162954,10450956
%N First row of spectral array W(e^gamma).
%C Gamma is Euler's (or Euler-Mascheroni) constant.
%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 \\ Row i of the generalized Wythoff array W(h),
%o \\ where h is an irrational number between 1 and 2,
%o \\ and m is the number of terms in the vectors a and b.
%o row(h, i, m) = {
%o if(h<=1 || h>=2, print("Invalid value for h"); return);
%o my(
%o a=vector(m, n, floor(n*h)),
%o b=vector(m, n, floor(n*h/(h-1))),
%o w=[a[a[i]], b[a[i]]],
%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 }
%o allocatemem(10^9)
%o row(exp(1)^Euler, 1, 10^7)
%Y Cf. A001620 (Gamma), A059565 (Corresponding Beatty sequence), A250253, A250254.
%K nonn
%O 1,2
%A _Colin Barker_, Nov 15 2014
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