login
A325524
Difference sequence of A325431.
2
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
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
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 06 2019
STATUS
approved