A355899 The successive gcd's arising in A355898.

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

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