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A250253
First row of spectral array W(gamma+1).
2
1, 2, 3, 5, 7, 13, 20, 35, 55, 95, 149, 259, 408, 707, 1115, 1931, 3045, 5276, 8321, 14416, 22737, 39391, 62128, 107634, 169762, 294105, 463867, 803628, 1267494, 2195877, 3463371, 6000134, 9463505, 16395094
OFFSET
1,2
COMMENTS
Gamma is Euler's (or Euler-Mascheroni) constant.
LINKS
A. Fraenkel and C. Kimberling, Generalized Wythoff arrays, shuffles and interspersions, Discrete Mathematics 126 (1994) 137-149.
PROG
(PARI)
\\ Row i of the generalized Wythoff array W(h),
\\ where h is an irrational number between 1 and 2,
\\ and m is the number of terms in the vectors a and b.
row(h, i, m) = {
if(h<=1 || h>=2, print("Invalid value for h"); return);
my(
a=vector(m, n, floor(n*h)),
b=vector(m, n, floor(n*h/(h-1))),
w=[a[a[i]], b[a[i]]],
j=3
);
while(1,
if(j%2==1,
if(w[j-1]<=#a, w=concat(w, a[w[j-1]]), return(w))
,
if(w[j-2]<=#b, w=concat(w, b[w[j-2]]), return(w))
);
j++
)
}
allocatemem(10^9)
row(Euler+1, 1, 10^7)
CROSSREFS
Cf. A001620 (Gamma), A059555 (Corresponding Beatty sequence), A250254, A250255.
Sequence in context: A294443 A293160 A249309 * A119717 A000627 A337270
KEYWORD
nonn,more
AUTHOR
Colin Barker, Nov 15 2014
STATUS
approved