A325521 Difference sequence of A325428.
2, 1, 3, 1, 2, 3, 1, 1, 2, 2, 2, 4, 2, 1, 3, 3, 1, 2, 2, 1, 3, 1, 2, 1, 2, 1, 1, 4, 3, 3, 1, 1, 1, 3, 1, 1, 4, 2, 4, 1, 2, 3, 1, 1, 2, 2, 2, 5, 1, 1, 6, 1, 2, 2, 1, 3, 1, 1, 1, 3, 1, 1, 2, 2, 6, 2, 1, 3, 3, 1, 2, 1, 1, 4, 1, 2, 1, 2, 1, 1, 4, 2, 1, 3, 1, 1
Offset: 1
Examples
See A325417 for a guide to related sequences. Conjecture: every term is in {1,2,3,4,5,6,7,8,9}.
Links
- Clark Kimberling, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or, Map[MemberQ[a, #] &, Select[Flatten[{(# - 1)/2, If[Mod[#, 3] == 0, (2 #)/3, 0] + If[Mod[#, 3] == 1, 1/3 (1 + 2 #), 0]}], IntegerQ || # == 0]]] &]], {200}]; a ; (* A325427 *) c = Complement[Range[Last[a]], a] ; (* A325428 *) Differences[a] (* A325520 *) Differences[c] (* A325521 *) (* Peter J. C. Moses, Apr 23 2019 *)