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A022163 First row of spectral array W(sqrt(3/2)). 5
1, 5, 6, 27, 33, 147, 180, 801, 981, 4365, 5346, 23787, 29133, 129627, 158760, 706401, 865161, 3849525, 4714686, 20977947, 25692633, 114319107, 140011740, 622980801, 762992541 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

A. Fraenkel and C. Kimberling, Generalized Wythoff arrays, shuffles and interspersions, Discrete Mathematics 126 (1994) 137-149.

FORMULA

Conjectures: a(n) = 6*a(n-2)-3*a(n-4). G.f.: -(3*x^3-5*x-1) / (3*x^4-6*x^2+1). - Colin Barker, Oct 23 2014

PROG

(PARI)

\\ The first row of the generalized Wythoff array W(h),

\\   where h is an irrational number between 1 and 2.

row1(h, m) = {

  my(

    a=vector(m, n, floor(n*h)),

    b=setminus(vector(m, n, n), a),

    w=[a[1]^2, b[a[1]]],

    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++

  );

  w

}

row1(sqrt(3/2), 100000) \\ Colin Barker, Oct 23 2014

CROSSREFS

Sequence in context: A163658 A121180 A022165 * A048060 A320665 A303731

Adjacent sequences:  A022160 A022161 A022162 * A022164 A022165 A022166

KEYWORD

nonn,more

AUTHOR

Clark Kimberling

EXTENSIONS

a(14)-a(18) from Colin Barker, Oct 23 2014 and Michel Marcus, Oct 24 2014

a(19)-a(24) from Sean A. Irvine, May 13 2019

STATUS

approved

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Last modified July 19 08:23 EDT 2019. Contains 325155 sequences. (Running on oeis4.)