A325497 Difference sequence of A325422.

1, 1, 2, 6, 4, 2, 2, 2, 2, 3, 1, 2, 2, 1, 3, 4, 2, 2, 1, 3, 4, 2, 6, 4, 2, 4, 2, 4, 2, 2, 1, 3, 4, 2, 4, 2, 4, 2, 2, 1, 3, 4, 2, 2, 1, 1, 2, 4, 2, 2, 4, 4, 2, 2, 1, 3, 4, 2, 2, 1, 3, 4, 2, 4, 2, 3, 1, 2, 2, 1, 3, 4, 2, 2, 1, 3, 4, 2, 2, 4, 3, 1, 2, 4, 2, 4

Offset

1,3

Comments

See A325417 for a guide to related sequences. Conjecture: every term is in {1,2,3,4,6}.

Links

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

Example

A325422 is given by A(n) = least number not 2*A(m)+1 or 3*A(m)+1 for any m < n, so that A = (3,4,5,7,13,17,19,...), with differences (1,1,2,6,4,2,...).

Mathematica

a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1,
Apply[Or, Map[MemberQ[a, #] &, Select[Flatten[{(#-1)/3, (# - 1)/2}],
IntegerQ]]] &]], {2000}]; a ;       (* A077477 *)
c = Complement[Range[Last[a]], a] ; (* A325422 *)
Differences[a]  (* A325496 *)
Differences[c]  (* A325497 *)
(* Peter J. C. Moses, Apr 23 2019 *)

Crossrefs

Cf. A325417, A325422.

Sequence in context: A004600 A369558 A370673 * A021795 A008904 A334397

Adjacent sequences: A325494 A325495 A325496 * A325498 A325499 A325500

Keyword

nonn,easy

Author

Clark Kimberling, May 05 2019

Status

approved