A325524 Difference sequence of A325431.

1, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 3, 2, 1, 2, 1, 2, 1, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3, 1, 1, 1, 1, 1, 2, 2, 3, 1, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 2, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1

Offset

1,2

Comments

See A325417 for a guide to related sequences.

Conjecture: every term is in {1,2,3}.

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Formula

Asymptotic mean: lim_{n->oo} (1/n) * Sum_{k=1..n} a(k) = 20/13. - Amiram Eldar, Nov 26 2020

Mathematica

a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or,
Map[MemberQ[a, #] &, Select[Flatten[{#/3, #/4}],
IntegerQ]]] &]], {20000}]; a;         (* A315431 *)
c = Complement[Range[Last[a]], a] ;   (* A325432 *)
Differences[a]  (* A325524 *)
Differences[c]  (* A325525 *)
(* Peter J. C. Moses, Apr 23 2019 *)

Crossrefs

Cf. A325417, A325431, A325525.

Sequence in context: A317872 A049340 A336929 * A010269 A366911 A077450

Adjacent sequences: A325521 A325522 A325523 * A325525 A325526 A325527

Keyword

nonn,easy

Author

Clark Kimberling, May 06 2019

Status

approved