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Difference sequence of A325431.
2

%I #12 Nov 26 2020 03:18:19

%S 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,

%T 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,

%U 1,1,2,1,2,2,1,1,1,1,1,3,1,1,3,1,1,1

%N Difference sequence of A325431.

%C See A325417 for a guide to related sequences.

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

%H Clark Kimberling, <a href="/A325524/b325524.txt">Table of n, a(n) for n = 1..10000</a>

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

%t a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or,

%t Map[MemberQ[a, #] &, Select[Flatten[{#/3, #/4}],

%t IntegerQ]]] &]], {20000}]; a; (* A315431 *)

%t c = Complement[Range[Last[a]], a] ; (* A325432 *)

%t Differences[a] (* A325524 *)

%t Differences[c] (* A325525 *)

%t (* _Peter J. C. Moses_, Apr 23 2019 *)

%Y Cf. A325417, A325431, A325525.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, May 06 2019