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A054352 Lengths of successive generations of the Kolakoski sequence A000002. 9
1, 2, 4, 7, 11, 18, 28, 43, 65, 99, 150, 226, 340, 511, 768, 1153, 1728, 2590, 3885, 5826, 8742, 13116, 19674, 29514, 44280, 66431, 99667, 149531, 224306, 336450, 504648, 756961, 1135450, 1703197 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Starting with a(0) = 1, the first term of A000002, the n-th generation is the run of figures directly generated from the preceding generation completed with a single last figure which begins the next run. Thus a(0) = 1 -> 1-2 -> 1-22-1 -> 1-2211-2-1 etc. - Jean-Christophe Hervé, Oct 26 2014

LINKS

Table of n, a(n) for n=0..33.

FORMULA

a(0) = 1, and for n > 0, a(n) = A054353(a(n-1))+1. - Jean-Christophe Hervé, Oct 26 2014

MATHEMATICA

A2 = {1, 2, 2}; Do[If[Mod[n, 10^5] == 0, Print["n = ", n]]; m = 1 + Mod[n - 1, 2]; an = A2[[n]]; A2 = Join[A2, Table[m, {an}]], {n, 3, 10^6}]; A054353 = Accumulate[A2]; Clear[a]; a[0] = 1; a[n_] := a[n] = A054353[[a[n - 1]]] + 1; Table[a[n], {n, 0, 33}] (* Jean-François Alcover, Oct 30 2014, after Jean-Christophe Hervé *)

CROSSREFS

Cf. A054348, A054349, A054350, A054351, A054353, A042942, A000002.

Sequence in context: A261666 A034412 A289131 * A091838 A288219 A004696

Adjacent sequences:  A054349 A054350 A054351 * A054353 A054354 A054355

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 07 2000

EXTENSIONS

More terms from John W. Layman, Aug 20 2002

One more term from Jean-François Alcover, Oct 30 2014

STATUS

approved

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Last modified September 17 19:16 EDT 2019. Contains 327137 sequences. (Running on oeis4.)