OFFSET
1,2
COMMENTS
See A350369 for a description of "consecutive tripling steps."
Records for A350369, recorded by the Collatz sequence starting value.
Differs from A213215 in that repeated values are removed, i.e., if a gap in the number of consecutive tripling steps occurs, A213215 will report the starting value multiple times but this sequence will not. Example: The Collatz sequence for 15 has 4 tripling steps but the sequence for 27 has 6, so 27 is reported by A213215 for n=5 and n=6. This sequence only reports 27 once as having set a new record.
Differs from A222598 in that certain consecutive tripling step lengths will not be represented here when a gap in the record number of consecutive tripling steps occurs. Example: Since the consecutive tripling step record moves from 4 in the Collatz sequence for 15 to 6 in the Collatz sequence for 27, this sequence will not report the Collatz sequence for 159 with 5 consecutive tripling steps like A222598 does.
LINKS
Kevin P. Thompson, Table of n, a(n) for n = 1..44
EXAMPLE
MATHEMATICA
k=0; nmax=0; Do[While[t=0; max=0; NestWhileList[If[OddQ@#, t++; If[t>max, max=t]; (3#+1)/2, t=0; #/2]&, ++k, #!=1&]; max<nmax]; nmax=max+1; Print@k, 30] (* Giorgos Kalogeropoulos, Jan 11 2022 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Kevin P. Thompson, Dec 27 2021
STATUS
approved