OFFSET
1,1
COMMENTS
Conjectures:
(1) a(n+1)-a(n) is in (2,3,4,5,6} for every n, and each of these differences occurs infinitely many times.
(2) Limit_{n->oo} a(n)/n = (3/2)*(1+sqrt(3)).
(3) Let d(n) = a(n) - A352673(n); then d(n) = 0 for infinitely many n, but {d(n)} is unbounded below and above.
LINKS
Clark Kimberling, R. Stanley, A. Kalmynin, Limit associated with two Beatty sequences that are not a Beatty pair, Math Overflow, Mar 2022.
EXAMPLE
The two Beatty sequences, (1,3,5,6,8,10,12,13,15,17,19,20,...) and (2,5,8,10,13,16,19,21,24,...), share the numbers (5,8,10,13,19,24,...).
MATHEMATICA
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Mar 26 2022
STATUS
approved