The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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. David Spies, Rust program for generating terms Eric Weisstein's World of Mathematics, Kolakoski sequence. FORMULA a(n) = A001083(n-2) - 1. - Andrey Zabolotskiy, Jan 10 2022 CROSSREFS Cf. A000002, A001083. Sequence in context: A260600 A119737 A038718 * A256968 A005687 A164139 Adjacent sequences:  A042939 A042940 A042941 * A042943 A042944 A042945 KEYWORD nonn,nice,easy AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 16 03:04 EDT 2022. Contains 353687 sequences. (Running on oeis4.)