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A133512 Accept F(1), reject F(1), accept F(2), reject F(2), accept F(3), ...,. 3
1, 3, 5, 6, 9, 10, 11, 15, 16, 17, 18, 19, 25, 26, 27, 28, 29, 30, 31, 32, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Start with natural numbers, then A004201 Accept one, reject one, accept two, reject two, ..., but this new analogous sequence functionally composes this with A000045 Fibonacci numbers.
a(n+1) is also the length of the shortest prefix of the Fibonacci word (A003849) containing some length-n block twice. - Jeffrey Shallit, May 15 2018
Complement of A344953; i.e., positions of words in A344953 that end with 0. - Clark Kimberling, Jun 12 2021
LINKS
Yann Bugeaud and Dong Han Kim, On the b-ary expansions of log(1+1/a) and e, Arxiv preprint arXiv:1510.00282 [math.NT], October 1 2015.
Yann Bugeaud and Dong Han Kim, On the b-ary expansions of log(1+1/a) and e, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), 931-947.
MATHEMATICA
L = {}; x = 1; Do[L = Join[L, Range[x, x + Fibonacci[n] - 1]]; x += 2 * Fibonacci[n], {n, 9}]; L (* Giovanni Resta, Jun 20 2016 *)
CROSSREFS
Sequence in context: A187345 A179185 A270198 * A344154 A065871 A128291
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Nov 30 2007
EXTENSIONS
Data corrected by Giovanni Resta, Jun 20 2016
STATUS
approved

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)