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A042942 From substitutional generation of Kolakoski sequence (A000002). 12
1, 2, 4, 6, 9, 14, 22, 33, 49, 74, 112, 169, 254, 381, 573, 862, 1292, 1936, 2902, 4352, 6525, 9788, 14687, 22028, 33050, 49576, 74378, 111579, 167387, 251089, 376630, 564931, 847375, 1271058, 1906627, 2859983, 4289952, 6434942, 9652396 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Generate A000002 via 2 -> 22 -> 2211 -> 221121 -> 221121221 -> ...; sequence gives lengths of successive strings.
a(n) appears to be asymptotic to c*(3/2)^n where c=1.3094... - Benoit Cloitre, Dec 18 2002
A more accurate estimate is c=1.309346948, probably correct to one unit in the last place. - Richard P. Brent, Dec 30 2016
LINKS
Richard P. Brent and Judy-anne H. Osborn, Table of n, a(n) for n = 1..100 (first 69 terms from David Spies)
Richard P. Brent and Judy-anne H. Osborn, A fast algorithm for the Kolakoski sequence, Dec. 2016.
Eric Weisstein's World of Mathematics, Kolakoski sequence.
FORMULA
a(n) = A001083(n-2) - 1. - Andrey Zabolotskiy, Jan 10 2022
CROSSREFS
Sequence in context: A260600 A119737 A038718 * A256968 A005687 A164139
KEYWORD
nonn,nice,easy
AUTHOR
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)