%I #12 Nov 26 2020 03:18:29
%S 1,2,2,7,5,1,6,1,2,3,3,3,1,2,2,4,3,1,2,2,1,7,2,2,1,3,3,1,2,9,1,4,1,3,
%T 4,2,2,1,6,3,2,7,1,4,1,6,1,2,2,1,6,1,2,2,7,5,1,7,2,3,3,3,1,2,2,1,6,1,
%U 4,1,9,2,1,6,1,2,9,1,4,1,3,3,1,2,2,1
%N Difference sequence of A325432.
%C See A325417 for a guide to related sequences.
%C Conjecture: every term is in {1,2,3,4,5,6,7,9}; note that 8 is missing.
%H Clark Kimberling, <a href="/A325525/b325525.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) = 20/7. - _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, A325432, A325524.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, May 06 2019