A100428 Bisection of Kolakoski sequence A000002.

1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1

Offset

1,2

Comments

Lengths of runs of ones in A000002. - Reinhard Zumkeller, Aug 03 2013

As in the Kolakoski sequence itself, the length of runs in this sequence is 1 or 2 : a run X,X,X is not possible, since it would imply X,Y,X,Y,X in the Kolakoski sequence, which in turn would imply 1, 1, 1 somewhere before (one Y, one X, one Y) which is not possible. - Jean-Christophe Hervé, Oct 04 2014

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Prog

(Haskell)
a100428 n = a100428_list !! n
a100428_list = f a000002_list where f (u:_:us) = u : f us
-- Reinhard Zumkeller, Aug 03 2013

Crossrefs

Cf. A100429, A216345.

Sequence in context: A023396 A091221 A106495 * A325169 A322862 A325225

Adjacent sequences: A100425 A100426 A100427 * A100429 A100430 A100431

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 20 2004

Extensions

More terms from Joshua Zucker, May 12 2006

Offset changed by Reinhard Zumkeller, Aug 03 2013

Status

approved