The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A249179 First row of spectral array W(3^(1/3)). 0
 1, 3, 4, 9, 12, 29, 41, 94, 135, 306, 441, 997, 1437, 3251, 4688, 10602, 15290, 34574, 49864, 112751, 162615, 367699, 530313, 1199127, 1729440, 3910553, 5639993, 12752965 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 3^(1/3) = 1.442249570307408382321638310780109588391869253499350577546416... The sequence is generated from the Beatty sequence (A059539) and from the complement of the Beatty sequence (A059540) for 3^(1/3). 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 b and c. row(h, i, m) = {   if(h<=1 || h>=2, print("Invalid value for h"); return);   my(     b=vector(m, n, floor(n*h)),       \\ Beatty sequence for h     c=vector(m, n, floor(n*h/(h-1))), \\ Complement of b     w=[b[b[i]], c[b[i]]],     j=3   );   while(1,     if(j%2==1,       if(w[j-1]<=#b, w=concat(w, b[w[j-1]]), return(w))     ,       if(w[j-2]<=#c, w=concat(w, c[w[j-2]]), return(w))     );     j++   ) } allocatemem(10^9) default(realprecision, 100) row(3^(1/3), 1, 10^7) CROSSREFS Cf. A059539, A059540. Sequence in context: A034421 A211221 A029448 * A103014 A116552 A339996 Adjacent sequences:  A249176 A249177 A249178 * A249180 A249181 A249182 KEYWORD nonn,more AUTHOR Colin Barker, Dec 03 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 16 18:07 EST 2022. Contains 350376 sequences. (Running on oeis4.)