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A325496
Difference sequence of A077477.
3
1, 4, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 2, 2, 4, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 3
OFFSET
1,2
COMMENTS
See A325417 for a guide to related sequences. Conjecture: every term is in {1,2,3,4}.
LINKS
EXAMPLE
A077477 is given by A(n) = least number not 2*A(m)+1 or 3*A(m)+1 for any m < n, so that A = (1,2,6,8,9,10,11,12,14,...), with differences (1,4,2,1,1,1,1,2,...).
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
Sequence in context: A377366 A016508 A351986 * A010312 A303599 A068930
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 05 2019
STATUS
approved