The On-Line Encyclopedia of Integer Sequences (OEIS)

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A143590

Length of row n of A143589 (a Kolakoski fan).
(history; published version)

#2 by Russ Cox at Fri Mar 30 18:57:10 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Aug 25 2008

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#1 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

NAME

Length of row n of A143589 (a Kolakoski fan).

DATA

1, 1, 2, 2, 3, 4, 7, 10, 16, 24, 36, 54, 80, 120, 180, 269, 404, 605, 908, 1361, 2041, 3063, 4591, 6890, 10333, 15509, 23259, 34901, 52344, 78516, 117762, 176636, 264944, 397405, 596099, 894193, 1341290, 2011935, 3017927, 4526825

OFFSET

1,3

COMMENTS

Conjecture (following Benoit Cloitre's conjecture at A111090):

if L=A143489, then L(n)*(2/3)^n approaches a constant.

EXAMPLE

The first 6 rows of A143589 are 1; 2; 1,1; 2,1; 1,1,2; 2,1,2,2. Their

lengths are 1,1,2,2,3,4.

CROSSREFS

Cf. A000002, A111090, A143477, A143586, A143489.

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Aug 25 2008

STATUS

approved