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 A355899 The successive gcd's arising in A355898. 5
 1, 1, 1, 1, 3, 1, 1, 3, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 1, 1, 1, 1, 1, 11, 1, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 7, 17, 3, 1, 1, 3, 3, 3, 5, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 71, 71, 5, 1, 1, 5, 1, 3, 1, 13, 3, 1, 5, 15, 1, 1, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS A proof that this does not grow too rapidly would prove that A355898 diverges. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 MATHEMATICA GCD @@@ Partition[Nest[Append[#1, #3 + Total[#2]/#3] & @@ {#1, #2, GCD @@ #2} & @@ {#, #[[-2 ;; -1]], GCD[#[[-2 ;; -1]]]} &, {1, 1}, 100], 2, 1] (* Michael De Vlieger, Sep 03 2022 *) CROSSREFS Cf. A351871, A355898, A355900, A355901. Sequence in context: A082465 A226856 A131327 * A341050 A122506 A010274 Adjacent sequences: A355896 A355897 A355898 * A355900 A355901 A355902 KEYWORD nonn AUTHOR N. J. A. Sloane, Sep 03 2022 STATUS approved

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Last modified September 30 18:30 EDT 2023. Contains 365793 sequences. (Running on oeis4.)